Pith Number

pith:AAUJH3LO

pith:2013:AAUJH3LOSNTDMXPZKEGKENXKKZ

not attested not anchored not stored refs pending

An introduction to spherically symmetric loop quantum gravity black holes

Jorge Pullin, Rodolfo Gambini

arxiv:1312.5512 v1 · 2013-12-19 · gr-qc · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAUJH3LOSNTDMXPZKEGKENXKKZ}

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	2026-05-18T02:20:10.676036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002893ed6e9366365df9510ca236ea565ac8ddb0453ca9655625126c6f38f0bd

Aliases

arxiv: 1312.5512 · arxiv_version: 1312.5512v1 · doi: 10.48550/arxiv.1312.5512 · pith_short_12: AAUJH3LOSNTD · pith_short_16: AAUJH3LOSNTDMXPZ · pith_short_8: AAUJH3LO

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/AAUJH3LOSNTDMXPZKEGKENXKKZ \
  | 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: 002893ed6e9366365df9510ca236ea565ac8ddb0453ca9655625126c6f38f0bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0aaa483c097928e923c991649914a6bb6f06283b836b53d69a21e9bde8e0f9e",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-19T12:32:58Z",
    "title_canon_sha256": "de2563209cf9c16b848451b8a01496a04f2374a0bb3f8d90743dafa6e9bf7909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5512",
    "kind": "arxiv",
    "version": 1
  }
}