Pith Number

pith:MMAF4H4V

pith:2004:MMAF4H4V4HOT7LAAEKTSVT3RGR

not attested not anchored not stored refs pending

Non-triviality of the A-polynomial for knots in S^3

Nathan M. Dunfield, Stavros Garoufalidis

arxiv:math/0405353 v3 · 2004-05-18 · 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{MMAF4H4V4HOT7LAAEKTSVT3RGR}

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	2026-05-18T02:41:32.440634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63005e1f95e1dd3fac0022a72acf71347125531c17e2d38da20496f915719195

Aliases

arxiv: math/0405353 · arxiv_version: math/0405353v3 · doi: 10.48550/arxiv.math/0405353 · pith_short_12: MMAF4H4V4HOT · pith_short_16: MMAF4H4V4HOT7LAA · pith_short_8: MMAF4H4V

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/MMAF4H4V4HOT7LAAEKTSVT3RGR \
  | 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: 63005e1f95e1dd3fac0022a72acf71347125531c17e2d38da20496f915719195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c7cb4830bb422f00c594edfb6e16d4f983375ea00724e39f7e66f94300dbda",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-05-18T19:42:18Z",
    "title_canon_sha256": "e4e1aa265849081dffd4ee730a891fc048e10eef91db827f70aa7405d2f42ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405353",
    "kind": "arxiv",
    "version": 3
  }
}