Pith Number

pith:2IVJFG23

pith:2006:2IVJFG23SBHMX7H3BOPDHGOC5C

not attested not anchored not stored refs pending

Crystal Melting and Black Holes

Cumrun Vafa, Jonathan J. Heckman

arxiv:hep-th/0610005 v1 · 2006-10-02 · 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{2IVJFG23SBHMX7H3BOPDHGOC5C}

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	2026-07-04T15:26:08.164666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22a929b5b904ecbfcfb0b9e3399c2e899a0aeff2a0daa041beb48b7c64a8d7a

Aliases

arxiv: hep-th/0610005 · arxiv_version: hep-th/0610005v1 · doi: 10.48550/arxiv.hep-th/0610005 · pith_short_12: 2IVJFG23SBHM · pith_short_16: 2IVJFG23SBHMX7H3 · pith_short_8: 2IVJFG23

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/2IVJFG23SBHMX7H3BOPDHGOC5C \
  | 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: d22a929b5b904ecbfcfb0b9e3399c2e899a0aeff2a0daa041beb48b7c64a8d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed3af8b023720bac18b8a66075a6504fc4ff0fdac855e87a8e23c85b3887d9b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-10-02T15:23:07Z",
    "title_canon_sha256": "d727d73fe380ad3dab8a08c9bf03627c7cfa366ab4a26c85ff0c18f7057d12e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0610005",
    "kind": "arxiv",
    "version": 1
  }
}