Pith Number

pith:TDISAK2W

pith:2009:TDISAK2WURM6GIVH4T63ZB2O7S

not attested not anchored not stored refs pending

The Self-Linking Number in Annulus and Pants Open Book Decompositions

Elena Pavelescu, Keiko Kawamuro

arxiv:0901.0414 v4 · 2009-01-05 · math.GT · 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{TDISAK2WURM6GIVH4T63ZB2O7S}

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	2026-05-18T02:56:04.203302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d1202b56a459e322a7e4fdbc874efcb13fea2944f735009f91b32eb22dc6a2

Aliases

arxiv: 0901.0414 · arxiv_version: 0901.0414v4 · doi: 10.48550/arxiv.0901.0414 · pith_short_12: TDISAK2WURM6 · pith_short_16: TDISAK2WURM6GIVH · pith_short_8: TDISAK2W

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/TDISAK2WURM6GIVH4T63ZB2O7S \
  | 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: 98d1202b56a459e322a7e4fdbc874efcb13fea2944f735009f91b32eb22dc6a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec436d546bacbfc301aba5ee0cfaae17a762106ff624f62e4ed41809b7223a82",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-01-05T02:20:12Z",
    "title_canon_sha256": "850cbb877d9b10ad6f439e48af0515e539d648161a75b037bb9570629ae0e9a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0414",
    "kind": "arxiv",
    "version": 4
  }
}