Pith Number

pith:4Z352MHU

pith:2004:4Z352MHUISKXECERVG2M666XON

not attested not anchored not stored refs pending

Homologie de contact des varietes toroidales

Frederic Bourgeois, Vincent Colin

arxiv:math/0411577 v3 · 2004-11-25 · math.GT · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z352MHUISKXECERVG2M666XON}

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	2026-05-18T02:37:59.869530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e677dd30f44495720891a9b4cf7bd7735dd693ee04039d23301d47a2f6756adf

Aliases

arxiv: math/0411577 · arxiv_version: math/0411577v3 · doi: 10.48550/arxiv.math/0411577 · pith_short_12: 4Z352MHUISKX · pith_short_16: 4Z352MHUISKXECER · pith_short_8: 4Z352MHU

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/4Z352MHUISKXECERVG2M666XON \
  | 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: e677dd30f44495720891a9b4cf7bd7735dd693ee04039d23301d47a2f6756adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a35b599c4902840d5cbd1e809f3bf20b247b51e8442d6e10e2fa6a17abb57e02",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-11-25T15:17:54Z",
    "title_canon_sha256": "248b847128a4b9e5266eddd26884d0776df6e80ce93608ffdf430ff4c3f1cedb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411577",
    "kind": "arxiv",
    "version": 3
  }
}