Pith Number

pith:2ZGNZ5E2

pith:2012:2ZGNZ5E26FBT3AX5TU3AVRNU4I

not attested not anchored not stored refs pending

HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations

A. Mironov, A. Morozov, An. Morozov, H. Itoyama

arxiv:1203.5978 v5 · 2012-03-27 · hep-th · 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{2ZGNZ5E26FBT3AX5TU3AVRNU4I}

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	2026-05-18T03:49:47.166359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64cdcf49af1433d82fd9d360ac5b4e21c1d00b6870e55c760488df234af0a18

Aliases

arxiv: 1203.5978 · arxiv_version: 1203.5978v5 · doi: 10.48550/arxiv.1203.5978 · pith_short_12: 2ZGNZ5E26FBT · pith_short_16: 2ZGNZ5E26FBT3AX5 · pith_short_8: 2ZGNZ5E2

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/2ZGNZ5E26FBT3AX5TU3AVRNU4I \
  | 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: d64cdcf49af1433d82fd9d360ac5b4e21c1d00b6870e55c760488df234af0a18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c2e61ffa832d32c0e6cd8e3f2184c1d08dad0d0637b6b1c18f9c4f2011f149",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-03-27T14:28:02Z",
    "title_canon_sha256": "56c1d0a354abf579c3e6b6746dd8c7efd03d89888046f679ed3ff9e9a058a805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5978",
    "kind": "arxiv",
    "version": 5
  }
}