Pith Number

pith:IKRN2U37

pith:2013:IKRN2U37JNENCRV5XXSRLUVBQP

not attested not anchored not stored refs pending

On genus expansion of knot polynomials and hidden structure of Hurwitz tau-functions

A.Mironov, A.Morozov, A.Sleptsov

arxiv:1304.7499 v1 · 2013-04-28 · hep-th · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKRN2U37JNENCRV5XXSRLUVBQP}

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	2026-05-18T03:10:45.812424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42a2dd537f4b48d146bdbde515d2a183f60b154f9a37b11733e308e2f1c69994

Aliases

arxiv: 1304.7499 · arxiv_version: 1304.7499v1 · doi: 10.48550/arxiv.1304.7499 · pith_short_12: IKRN2U37JNEN · pith_short_16: IKRN2U37JNENCRV5 · pith_short_8: IKRN2U37

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/IKRN2U37JNENCRV5XXSRLUVBQP \
  | 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: 42a2dd537f4b48d146bdbde515d2a183f60b154f9a37b11733e308e2f1c69994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60db4d9c00510a53a815f29eb47b4755bd711ecd6807c3d3ed569cf0d62e79da",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-28T19:00:57Z",
    "title_canon_sha256": "ff6a02d6e7818a89e3c6c7ef3f745ad125c06d9d3c4db7b05cbaea0419bd760e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7499",
    "kind": "arxiv",
    "version": 1
  }
}