Pith Number

pith:TVZHOX6P

pith:1999:TVZHOX6P6S6XH6XLR4KC7TMBYF

not attested not anchored not stored refs pending

On the phase diagram of 2d Lorentzian Quantum Gravity

Jan Ambjorn, K. N. Anagnostopoulos, R. Loll

arxiv:hep-lat/9908054 v1 · 1999-08-30 · 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{TVZHOX6P6S6XH6XLR4KC7TMBYF}

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	2026-05-18T01:39:11.356351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d72775fcff4bd73faeb8f142fcd81c146b636d30f4a1b00ff7711b074eb63df

Aliases

arxiv: hep-lat/9908054 · arxiv_version: hep-lat/9908054v1 · doi: 10.48550/arxiv.hep-lat/9908054 · pith_short_12: TVZHOX6P6S6X · pith_short_16: TVZHOX6P6S6XH6XL · pith_short_8: TVZHOX6P

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/TVZHOX6P6S6XH6XLR4KC7TMBYF \
  | 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: 9d72775fcff4bd73faeb8f142fcd81c146b636d30f4a1b00ff7711b074eb63df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e992569dde2dbf3b28b7ad10d91534753518240e2016929cf525463f730a768",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1999-08-30T20:35:38Z",
    "title_canon_sha256": "9a9667629cbf6fd23fabae40da6447bc457c2ca4acfb93adb86c8efe4e01bc3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9908054",
    "kind": "arxiv",
    "version": 1
  }
}