Pith Number

pith:VP34VRVP

pith:1999:VP34VRVPET6OKAOEEX2XIPMCK5

not attested not anchored not stored refs pending

Gravitational Thermodynamics of Space-time Foam in One-loop Approximation

Liao Liu, Yongge Ma

arxiv:gr-qc/9908020 v1 · 1999-08-06 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VP34VRVPET6OKAOEEX2XIPMCK5}

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	2026-05-18T01:06:44.031344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf7cac6af24fce501c425f5743d8257575ee00919edfc1999e3211291f742bd

Aliases

arxiv: gr-qc/9908020 · arxiv_version: gr-qc/9908020v1 · doi: 10.48550/arxiv.gr-qc/9908020 · pith_short_12: VP34VRVPET6O · pith_short_16: VP34VRVPET6OKAOE · pith_short_8: VP34VRVP

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/VP34VRVPET6OKAOEEX2XIPMCK5 \
  | 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: abf7cac6af24fce501c425f5743d8257575ee00919edfc1999e3211291f742bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc0ff4d88be80f0a24f17fe5e2ca2810eb35feb6fc7b2d6a355c0ef9209fa509",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-08-06T03:41:13Z",
    "title_canon_sha256": "1355ceec7c6254a36e073038a7f6a4fbb6531739a9b844efd4a58c080e1a9026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9908020",
    "kind": "arxiv",
    "version": 1
  }
}