Pith Number

pith:5GHHNNSX

pith:2022:5GHHNNSXF4BTBP5PTHIGHQL7SK

not attested not anchored not stored refs pending

Defect and degree of the Alexander polynomial

A. Morozov, E. Lanina

arxiv:2208.01585 v1 · 2022-08-02 · hep-th · math-ph · math.GT · 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{5GHHNNSXF4BTBP5PTHIGHQL7SK}

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	2026-07-05T05:51:26.326365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98e76b6572f0330bfaf99d063c17f92ad50c2a4c352f68fd6a1495989904c9d

Aliases

arxiv: 2208.01585 · arxiv_version: 2208.01585v1 · doi: 10.48550/arxiv.2208.01585 · pith_short_12: 5GHHNNSXF4BT · pith_short_16: 5GHHNNSXF4BTBP5P · pith_short_8: 5GHHNNSX

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/5GHHNNSXF4BTBP5PTHIGHQL7SK \
  | 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: e98e76b6572f0330bfaf99d063c17f92ad50c2a4c352f68fd6a1495989904c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c2007310bdb1a7af665539834ff73ad972060fa83de36edcd641b726c777ed",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-08-02T16:42:32Z",
    "title_canon_sha256": "10f6e9f8c16af3e5b04c435bd0b73a3c6d8b2703901777e9c1597726614b2a12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.01585",
    "kind": "arxiv",
    "version": 1
  }
}