Pith Number

pith:PI7REREK

pith:2005:PI7REREK4NOBTG22SAVPGAULRN

not attested not anchored not stored refs pending

The C-polynomial of a knot

Stavros Garoufalidis, Xinyu Sun

arxiv:math/0504305 v2 · 2005-04-14 · math.GT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI7REREK4NOBTG22SAVPGAULRN}

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.

Cited by

3 papers in Pith

More on Kashaev limits of the quantum $A$-polynomials

Two roles of Alexander in two Kashaev phases

Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

Receipt and verification

First computed	2026-07-04T15:41:56.893431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3f12448ae35c199b5a902af3028b8b6c5d6d4e5bae8e6c647ee141ba1443f7

Aliases

arxiv: math/0504305 · arxiv_version: math/0504305v2 · doi: 10.48550/arxiv.math/0504305 · pith_short_12: PI7REREK4NOB · pith_short_16: PI7REREK4NOBTG22 · pith_short_8: PI7REREK

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/PI7REREK4NOBTG22SAVPGAULRN \
  | 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: 7a3f12448ae35c199b5a902af3028b8b6c5d6d4e5bae8e6c647ee141ba1443f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2b06245004e01756539440770bebb533788258aacae10bcfc6387ca4877cee",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-04-14T19:19:03Z",
    "title_canon_sha256": "50df967cc7ac2fd4429a8a7fb0e92baf16e7a50c7248c10f0e4e5e4c60c0bb2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504305",
    "kind": "arxiv",
    "version": 2
  }
}