Pith Number

pith:PVULCKMK

pith:2016:PVULCKMKVS6UBFXDCJHSWJDKY6

not attested not anchored not stored refs pending

Diffeomorphism-invariant averaging in quantum gravity and cosmology

Anthony W. H. Preston

arxiv:1612.06872 v1 · 2016-12-20 · gr-qc · astro-ph.CO · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVULCKMKVS6UBFXDCJHSWJDKY6}

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.

Receipt and verification

First computed	2026-05-18T00:54:15.157506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d68b1298aacbd4096e3124f2b246ac787dd24fb570b9a13a2d52f022cd0ed6b

Aliases

arxiv: 1612.06872 · arxiv_version: 1612.06872v1 · doi: 10.48550/arxiv.1612.06872 · pith_short_12: PVULCKMKVS6U · pith_short_16: PVULCKMKVS6UBFXD · pith_short_8: PVULCKMK

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/PVULCKMKVS6UBFXDCJHSWJDKY6 \
  | 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: 7d68b1298aacbd4096e3124f2b246ac787dd24fb570b9a13a2d52f022cd0ed6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff6225d79a9a6e3055d77eef1dfbc03e047f82722b910967289012050af55be",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-20T21:00:32Z",
    "title_canon_sha256": "71dab33200c81f302166d52cd46fd960491e82f344bf432dbc7c3886604fb354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06872",
    "kind": "arxiv",
    "version": 1
  }
}