Pith Number

pith:F5WV3556

pith:2017:F5WV3556OUX6VNOQSZKWT3RAPU

not attested not anchored not stored refs pending

The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming

Jozef H. Przytycki

arxiv:1707.07733 v1 · 2017-07-24 · 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{F5WV3556OUX6VNOQSZKWT3RAPU}

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	2026-05-18T00:39:30.592783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6d5df7be752feab5d0965569ee207d36b40140df8636bde89ddde90e6c1982

Aliases

arxiv: 1707.07733 · arxiv_version: 1707.07733v1 · doi: 10.48550/arxiv.1707.07733 · pith_short_12: F5WV3556OUX6 · pith_short_16: F5WV3556OUX6VNOQ · pith_short_8: F5WV3556

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/F5WV3556OUX6VNOQSZKWT3RAPU \
  | 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: 2f6d5df7be752feab5d0965569ee207d36b40140df8636bde89ddde90e6c1982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d1df7d5862e549f8af28a8cf6169f7d2bbab372e22f04498d32bc126646741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-24T20:00:18Z",
    "title_canon_sha256": "5697bb4b5256078833e6e56a6b75b52e560adf0d16b8108355211c39bc93caf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07733",
    "kind": "arxiv",
    "version": 1
  }
}