Pith Number

pith:5TPOPEQU

pith:2015:5TPOPEQUNY27C4RU3LYSWCZXAK

not attested not anchored not stored refs pending

Quantum Phase Transitions in the BKL Universe

Frank Saueressig, Giulio D'Odorico

arxiv:1511.00247 v1 · 2015-11-01 · gr-qc · 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{5TPOPEQUNY27C4RU3LYSWCZXAK}

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	2026-05-18T01:23:22.746010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecdee792146e35f17234daf12b0b3702bb6ca6ab35c683ae9498ccf9ced1c4f7

Aliases

arxiv: 1511.00247 · arxiv_version: 1511.00247v1 · doi: 10.48550/arxiv.1511.00247 · pith_short_12: 5TPOPEQUNY27 · pith_short_16: 5TPOPEQUNY27C4RU · pith_short_8: 5TPOPEQU

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/5TPOPEQUNY27C4RU3LYSWCZXAK \
  | 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: ecdee792146e35f17234daf12b0b3702bb6ca6ab35c683ae9498ccf9ced1c4f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "effb727fc5983686c4a6d5c6a59b476c1145d82891cbf70bf3a0fcc970372ff8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-01T13:30:50Z",
    "title_canon_sha256": "0abcfcdfc1a4735dd669fc134d438ff6970ca3be56ae1181682e9cf46bd1d7d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00247",
    "kind": "arxiv",
    "version": 1
  }
}