Pith Number

pith:Q4BBN2RR

pith:1999:Q4BBN2RRUN34AMGTCERIIYKTBQ

not attested not anchored not stored refs pending

Napoleon in isolation

Danny Calegari

arxiv:math/9909106 v2 · 1999-09-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4BBN2RRUN34AMGTCERIIYKTBQ}

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	2026-07-04T14:41:18.789134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870216ea31a377c030d311228461530c0fb196d7d5ba64a7f89162d5f0c80dd1

Aliases

arxiv: math/9909106 · arxiv_version: math/9909106v2 · doi: 10.48550/arxiv.math/9909106 · pith_short_12: Q4BBN2RRUN34 · pith_short_16: Q4BBN2RRUN34AMGT · pith_short_8: Q4BBN2RR

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/Q4BBN2RRUN34AMGTCERIIYKTBQ \
  | 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: 870216ea31a377c030d311228461530c0fb196d7d5ba64a7f89162d5f0c80dd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45cf3737adb3fbac3abef7f2a842b596ce03c5529b44a99e50d1e3e108bc76b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-09-18T00:01:37Z",
    "title_canon_sha256": "bf72e7181da6a39e19734ee38ef4020850177f85f8b1a76c36527a9615ddeb7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909106",
    "kind": "arxiv",
    "version": 2
  }
}