Pith Number

pith:VBTNEO4N

pith:2019:VBTNEO4NDI5K4FDMFYRLO33SWM

not attested not anchored not stored refs pending

Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams

Hao Derrick Zhang, Masaya Kameyama, Runkai Tao, Satoshi Nawata

arxiv:1902.02275 v3 · 2019-02-06 · math.GT · hep-th · math-ph · math.MP · 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{VBTNEO4NDI5K4FDMFYRLO33SWM}

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	2026-07-05T01:23:53.464599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a866d23b8d1a3aae146c2e22b76f72b3279d350277107314c6b45a7c5d86fe1f

Aliases

arxiv: 1902.02275 · arxiv_version: 1902.02275v3 · doi: 10.48550/arxiv.1902.02275 · pith_short_12: VBTNEO4NDI5K · pith_short_16: VBTNEO4NDI5K4FDM · pith_short_8: VBTNEO4N

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/VBTNEO4NDI5K4FDMFYRLO33SWM \
  | 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: a866d23b8d1a3aae146c2e22b76f72b3279d350277107314c6b45a7c5d86fe1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "055314c98644f23573192fe0b804ab6c848de1b00e98ab1d38e4efc1a5a1b66b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-06T17:12:16Z",
    "title_canon_sha256": "db5191bd75a4319afe6c1eeff571b24b50b24e952717776537183f2fae840aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02275",
    "kind": "arxiv",
    "version": 3
  }
}