Pith Number

pith:GNWTZ33Y

pith:2019:GNWTZ33Y2NHY25U44IWENA3I3D

not attested not anchored not stored refs pending

Alexander and Jones polynomials of surgerized tst links

Franky Mok, Wilson Wong

arxiv:1902.05756 v3 · 2019-02-15 · math.GT · math-ph · math.GN · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNWTZ33Y2NHY25U44IWENA3I3D}

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	2026-05-17T23:53:40.961262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336d3cef78d34f8d769ce22c468368d8f06462924c07e0dc359062b87586ac2b

Aliases

arxiv: 1902.05756 · arxiv_version: 1902.05756v3 · doi: 10.48550/arxiv.1902.05756 · pith_short_12: GNWTZ33Y2NHY · pith_short_16: GNWTZ33Y2NHY25U4 · pith_short_8: GNWTZ33Y

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/GNWTZ33Y2NHY25U44IWENA3I3D \
  | 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: 336d3cef78d34f8d769ce22c468368d8f06462924c07e0dc359062b87586ac2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aef0588363d3992b12081af2e77fa5b82d1b8dbad9f96ea3db9177fc041834f2",
    "cross_cats_sorted": [
      "math-ph",
      "math.GN",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-15T10:33:37Z",
    "title_canon_sha256": "8ccc3193832e4bff1ea317b02975d5a1db8c0340fe14a9aa7ab940f0b53a7f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05756",
    "kind": "arxiv",
    "version": 3
  }
}