Pith Number

pith:LGIXW74V

pith:2007:LGIXW74V3AUG4SJEPXCBLYFN3D

not attested not anchored not stored refs pending

How many black holes fit on the head of a pin?

Frederik Denef, Gregory W. Moore

arxiv:0705.2564 v1 · 2007-05-17 · 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{LGIXW74V3AUG4SJEPXCBLYFN3D}

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	2026-05-18T02:35:31.119849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59917b7f95d8286e49247dc415e0add8f866eb970e0b5da8508cd1303cc3df0b

Aliases

arxiv: 0705.2564 · arxiv_version: 0705.2564v1 · doi: 10.48550/arxiv.0705.2564 · pith_short_12: LGIXW74V3AUG · pith_short_16: LGIXW74V3AUG4SJE · pith_short_8: LGIXW74V

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/LGIXW74V3AUG4SJEPXCBLYFN3D \
  | 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: 59917b7f95d8286e49247dc415e0add8f866eb970e0b5da8508cd1303cc3df0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e55852cc2bc98ed63dd106bf462110977582190769670a6eba80b2988d138c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-05-17T17:06:14Z",
    "title_canon_sha256": "2a030768729825f39676ff139c53501a1c42db951e3b2e2a1313f020217e739b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2564",
    "kind": "arxiv",
    "version": 1
  }
}