Pith Number

pith:5QCOEJGO

pith:2011:5QCOEJGOQDVYTABBJPLBL7TGFC

not attested not anchored not stored refs pending

A second-order phase transition in CDT

J. Ambjorn, J. Jurkiewicz, R. Loll, S. Jordan

arxiv:1108.3932 v1 · 2011-08-19 · hep-th · gr-qc · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QCOEJGOQDVYTABBJPLBL7TGFC}

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

1 paper in Pith

Causal Dynamical Triangulations: New Lattice Theory of Quantum Gravity

Receipt and verification

First computed	2026-05-18T04:07:19.420505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec04e224ce80eb8980214bd615fe6628afd07c74518126a3548c55c292b5ae76

Aliases

arxiv: 1108.3932 · arxiv_version: 1108.3932v1 · doi: 10.48550/arxiv.1108.3932 · pith_short_12: 5QCOEJGOQDVY · pith_short_16: 5QCOEJGOQDVYTABB · pith_short_8: 5QCOEJGO

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/5QCOEJGOQDVYTABBJPLBL7TGFC \
  | 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: ec04e224ce80eb8980214bd615fe6628afd07c74518126a3548c55c292b5ae76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6d76bc00c942f2b169cb7dc9931c749d0a23cbff62f3963441796585d386f3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-19T09:30:15Z",
    "title_canon_sha256": "b8a3c385438284c1faa9dc4974d110bddcf330f5fe2df2c0a6de94c5e0da0f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3932",
    "kind": "arxiv",
    "version": 1
  }
}