Pith Number

pith:2ZRGPSSW

pith:2011:2ZRGPSSW7JDB4XESQBLY6ILUHN

not attested not anchored not stored refs pending

Relational Observables in Gravity: a Review

Johannes Tambornino

arxiv:1109.0740 v2 · 2011-09-04 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZRGPSSW7JDB4XESQBLY6ILUHN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Collective excitations in quantum gravity condensates

Fiducial observers and the thermal atmosphere in the black hole quantum throat

Implication of dressed form of relational observable on von Neumann algebra

Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames

Receipt and verification

First computed	2026-05-18T03:59:12.268681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66267ca56fa461e5c9280578f21743b763992180cebbb046f12841b1ee186a0

Aliases

arxiv: 1109.0740 · arxiv_version: 1109.0740v2 · doi: 10.48550/arxiv.1109.0740 · pith_short_12: 2ZRGPSSW7JDB · pith_short_16: 2ZRGPSSW7JDB4XES · pith_short_8: 2ZRGPSSW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2ZRGPSSW7JDB4XESQBLY6ILUHN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d66267ca56fa461e5c9280578f21743b763992180cebbb046f12841b1ee186a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349429105288f542565ce70acdd76486de0a2024b92b382b784ed47b6f7732a6",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-04T18:54:27Z",
    "title_canon_sha256": "28a0782aa42cf040745ea88b4b4aa32db71f2e5cf0efd10d23cba516771b8bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0740",
    "kind": "arxiv",
    "version": 2
  }
}