Pith Number

pith:TFTSDHLL

pith:2003:TFTSDHLL3Y73BILTXNNWA5A5IC

not attested not anchored not stored refs pending

On the characteristic and deformation varieties of a knot

Stavros Garoufalidis

arxiv:math/0306230 v4 · 2003-06-15 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFTSDHLL3Y73BILTXNNWA5A5IC}

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

2 papers in Pith

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

Two roles of Alexander in two Kashaev phases

Receipt and verification

First computed	2026-07-04T14:37:31.757724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9967219d6bde3fb0a173bb5b60741d4085d676918b7642a089958454b90b3393

Aliases

arxiv: math/0306230 · arxiv_version: math/0306230v4 · doi: 10.48550/arxiv.math/0306230 · pith_short_12: TFTSDHLL3Y73 · pith_short_16: TFTSDHLL3Y73BILT · pith_short_8: TFTSDHLL

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/TFTSDHLL3Y73BILTXNNWA5A5IC \
  | 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: 9967219d6bde3fb0a173bb5b60741d4085d676918b7642a089958454b90b3393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8149335f320877ed59a33b06f3312803ce3b8e40b32d1940d31e2b0cc2ff9a23",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-06-15T17:12:51Z",
    "title_canon_sha256": "91450c5feb079c8012975bbdc3e867a24f7a1813949977ac0c4038e3db53c0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306230",
    "kind": "arxiv",
    "version": 4
  }
}