Pith Number

pith:Q3SGYBSP

pith:2004:Q3SGYBSP2XJEMXY3GLQQD77MCF

not attested not anchored not stored refs pending

Attractors and the Holomorphic Anomaly

Erik Verlinde

arxiv:hep-th/0412139 v1 · 2004-12-14 · 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{Q3SGYBSP2XJEMXY3GLQQD77MCF}

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	2026-07-04T14:32:20.550969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e46c064fd5d2465f1b32e101ffec115a9052b189827e66a59854d27162f946

Aliases

arxiv: hep-th/0412139 · arxiv_version: hep-th/0412139v1 · doi: 10.48550/arxiv.hep-th/0412139 · pith_short_12: Q3SGYBSP2XJE · pith_short_16: Q3SGYBSP2XJEMXY3 · pith_short_8: Q3SGYBSP

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/Q3SGYBSP2XJEMXY3GLQQD77MCF \
  | 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: 86e46c064fd5d2465f1b32e101ffec115a9052b189827e66a59854d27162f946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb22028832eb2b56b7e4de764590476872d347ddaf5cade08acbb9bfd870a552",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-14T00:32:51Z",
    "title_canon_sha256": "bd33b9ea379b08b8f879df22378f7e8487d2929350dc90f673205b3c693a0e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412139",
    "kind": "arxiv",
    "version": 1
  }
}