Pith Number

pith:7PW5WAB7

pith:2001:7PW5WAB7XKASTVES3OUUFP6AUE

not attested not anchored not stored refs pending

Surface bundles over surfaces of small genus

Jim Bryan, Ron Donagi

arxiv:math/0105203 v2 · 2001-05-24 · math.AG · 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{7PW5WAB7XKASTVES3OUUFP6AUE}

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	2026-05-18T02:38:00.805058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbeddb003fba8129d492dba942bfc0a105e2635bc93e0723cc4723a0bafba4b9

Aliases

arxiv: math/0105203 · arxiv_version: math/0105203v2 · doi: 10.48550/arxiv.math/0105203 · pith_short_12: 7PW5WAB7XKAS · pith_short_16: 7PW5WAB7XKASTVES · pith_short_8: 7PW5WAB7

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/7PW5WAB7XKASTVES3OUUFP6AUE \
  | 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: fbeddb003fba8129d492dba942bfc0a105e2635bc93e0723cc4723a0bafba4b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3720de385bd0c4f591e3865d08f3c23bb69a976b38399649d7b3ab9eebd462e4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-05-24T21:37:49Z",
    "title_canon_sha256": "cc5558e03e8c6f8b50d8fab003eb7649b1968fada18a5950e0034d64f6ada2b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105203",
    "kind": "arxiv",
    "version": 2
  }
}