Pith Number

pith:3SANZ2ZI

pith:2011:3SANZ2ZIMUYE67NPLEEDI6J5RU

not attested not anchored not stored refs pending

Effective Conformal Descriptions of Black Hole Entropy

Steven Carlip

arxiv:1107.2678 v1 · 2011-07-13 · 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{3SANZ2ZIMUYE67NPLEEDI6J5RU}

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	2026-05-18T04:05:27.325100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc80dceb2865304f7daf590834793d8d2ea9801fa15e09894fc6aa8ccf2f21ba

Aliases

arxiv: 1107.2678 · arxiv_version: 1107.2678v1 · doi: 10.48550/arxiv.1107.2678 · pith_short_12: 3SANZ2ZIMUYE · pith_short_16: 3SANZ2ZIMUYE67NP · pith_short_8: 3SANZ2ZI

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/3SANZ2ZIMUYE67NPLEEDI6J5RU \
  | 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: dc80dceb2865304f7daf590834793d8d2ea9801fa15e09894fc6aa8ccf2f21ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7fa51539706fa06d8df7acb12f391f2843244a99f5dca92d2c5b3344cacd84d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-13T21:03:17Z",
    "title_canon_sha256": "13d226e4ed4d98647d8b0823c55739b3c3c117542d4ebaf87b1e9a883c418818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2678",
    "kind": "arxiv",
    "version": 1
  }
}