Pith Number

pith:ACJ4E3HE

pith:1999:ACJ4E3HENTPFLD2B7KRLV6LYXO

not attested not anchored not stored refs pending

Double sections and dominating maps

Gregery T. Buzzard, Steven Lu (Fields Institute, University of Waterloo)

arxiv:math/9904183 v1 · 1999-04-19 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACJ4E3HENTPFLD2B7KRLV6LYXO}

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	2026-05-18T01:05:33.103201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0093c26ce46cde558f41faa2baf978bb8a61b27d54c6cea7cdaa8792a4d80560

Aliases

arxiv: math/9904183 · arxiv_version: math/9904183v1 · doi: 10.48550/arxiv.math/9904183 · pith_short_12: ACJ4E3HENTPF · pith_short_16: ACJ4E3HENTPFLD2B · pith_short_8: ACJ4E3HE

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/ACJ4E3HENTPFLD2B7KRLV6LYXO \
  | 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: 0093c26ce46cde558f41faa2baf978bb8a61b27d54c6cea7cdaa8792a4d80560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e272814816cca898fa0fec7f7decfed8f30a5b0f5ff05f576e52f5589263e13d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "1999-04-19T00:00:00Z",
    "title_canon_sha256": "8d1f8906b6329bb08f870ac7a8217a97d6ac7462f93eed0680da1727ce4f383f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904183",
    "kind": "arxiv",
    "version": 1
  }
}