Pith Number

pith:ZYCJ6YKC

pith:2010:ZYCJ6YKCSPVOSH3P27OBMC6HTR

not attested not anchored not stored refs pending

Milnor invariants and the HOMFLYPT polynomial

Akira Yasuhara, Jean-Baptiste Meilhan

arxiv:1002.1803 v2 · 2010-02-09 · 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{ZYCJ6YKCSPVOSH3P27OBMC6HTR}

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	2026-05-18T02:38:18.626346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce049f614293eae91f6fd7dc160bc79c7b16eb7442f190b580009b50328fd406

Aliases

arxiv: 1002.1803 · arxiv_version: 1002.1803v2 · doi: 10.48550/arxiv.1002.1803 · pith_short_12: ZYCJ6YKCSPVO · pith_short_16: ZYCJ6YKCSPVOSH3P · pith_short_8: ZYCJ6YKC

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/ZYCJ6YKCSPVOSH3P27OBMC6HTR \
  | 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: ce049f614293eae91f6fd7dc160bc79c7b16eb7442f190b580009b50328fd406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a6d90713c3243640cf3cb828fc45785ae5bee2c9ef54fa86346611d00add70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-09T09:15:23Z",
    "title_canon_sha256": "94970e7034cb0ee780bdd8c0fa85208f853f2de0f63d251edfd215c792e0e61a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1803",
    "kind": "arxiv",
    "version": 2
  }
}