Pith Number

pith:3NPQ7FS3

pith:2016:3NPQ7FS3SHVOFW4OKK2R25EHG7

not attested not anchored not stored refs pending

HOMFLY-PT homology for general link diagrams and braidlike isotopy

Michael Abel

arxiv:1607.00314 v1 · 2016-07-01 · math.QA · 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{3NPQ7FS3SHVOFW4OKK2R25EHG7}

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	2026-05-18T00:20:59.405752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5f0f965b91eae2db8e52b51d748737e86a6bb9b355c80e107a7315ff540faa

Aliases

arxiv: 1607.00314 · arxiv_version: 1607.00314v1 · doi: 10.48550/arxiv.1607.00314 · pith_short_12: 3NPQ7FS3SHVO · pith_short_16: 3NPQ7FS3SHVOFW4O · pith_short_8: 3NPQ7FS3

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/3NPQ7FS3SHVOFW4OKK2R25EHG7 \
  | 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: db5f0f965b91eae2db8e52b51d748737e86a6bb9b355c80e107a7315ff540faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7f0a44b6ef37158242d6a4196e62d9161b22e27e10543033cbfc3cc0ee1a9b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-07-01T16:57:01Z",
    "title_canon_sha256": "73fc8e14c4cf646f2b105eeff1c0bda497783a620bdca56e04d29670657d7ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00314",
    "kind": "arxiv",
    "version": 1
  }
}