Pith Number

pith:JEBU76Y5

pith:2009:JEBU76Y5T3YKMW7ZLUILICOD6P

not attested not anchored not stored refs pending

Extremal limits and black hole entropy

Lisa Randall, Matthew C. Johnson, Sean M. Carroll

arxiv:0901.0931 v2 · 2009-01-08 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEBU76Y5T3YKMW7ZLUILICOD6P}

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	2026-07-04T17:16:59.934042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49034ffb1d9ef0a65bf95d10b409c3f3c8f788416cacb0a0ce41604f770ebe2f

Aliases

arxiv: 0901.0931 · arxiv_version: 0901.0931v2 · doi: 10.48550/arxiv.0901.0931 · pith_short_12: JEBU76Y5T3YK · pith_short_16: JEBU76Y5T3YKMW7Z · pith_short_8: JEBU76Y5

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/JEBU76Y5T3YKMW7ZLUILICOD6P \
  | 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: 49034ffb1d9ef0a65bf95d10b409c3f3c8f788416cacb0a0ce41604f770ebe2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67070ba7c7fcd1703a9d96bbbb1bee34d3a910e0910eb0ecc3b2a3fbbd72ca4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-01-08T19:22:28Z",
    "title_canon_sha256": "4cca05bcaebe8c36266dca6dd70919eb73ac20dd5f0b24d0960d0e38ccccb345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0931",
    "kind": "arxiv",
    "version": 2
  }
}