Pith Number

pith:76SMTMHA

pith:2016:76SMTMHAXCH6QDWTHMFKRPIV4I

not attested not anchored not stored refs pending

The HOMFLY Polynomial of Links in Closed Braid Form

G\'abor Hetyei, Pengyu Liu, Yuanan Diao

arxiv:1604.06127 v3 · 2016-04-20 · 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{76SMTMHAXCH6QDWTHMFKRPIV4I}

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	2026-05-18T00:55:39.229628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa4c9b0e0b88fe80ed33b0aa8bd15e21038299ae59d54f11c31e8ad4e5e331b

Aliases

arxiv: 1604.06127 · arxiv_version: 1604.06127v3 · doi: 10.48550/arxiv.1604.06127 · pith_short_12: 76SMTMHAXCH6 · pith_short_16: 76SMTMHAXCH6QDWT · pith_short_8: 76SMTMHA

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/76SMTMHAXCH6QDWTHMFKRPIV4I \
  | 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: ffa4c9b0e0b88fe80ed33b0aa8bd15e21038299ae59d54f11c31e8ad4e5e331b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4c29962344d7369df192d75dccb5d4e5d2c8f3a0a7cf22a2b2ce5974b56a6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-20T21:42:24Z",
    "title_canon_sha256": "e4b0a5c81641858962b455903426c89bd6e299076cfa03afd9e76a1ccb3c707c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06127",
    "kind": "arxiv",
    "version": 3
  }
}