Pith Number

pith:OFYT6DQ2

pith:2017:OFYT6DQ2NHNOXKP2Q7PH33PIPA

not attested not anchored not stored refs pending

Differential expansion for link polynomials

A. Mironov, A. Morozov, An. Morozov, A. Sleptsov, C. Bai, J. Jiang, J. Liang

arxiv:1709.09228 v1 · 2017-09-26 · 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{OFYT6DQ2NHNOXKP2Q7PH33PIPA}

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	2026-05-18T00:24:59.602838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71713f0e1a69daeba9fa87de7dede8781fe140e1e6682a6c9f8ea53aa902633d

Aliases

arxiv: 1709.09228 · arxiv_version: 1709.09228v1 · doi: 10.48550/arxiv.1709.09228 · pith_short_12: OFYT6DQ2NHNO · pith_short_16: OFYT6DQ2NHNOXKP2 · pith_short_8: OFYT6DQ2

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/OFYT6DQ2NHNOXKP2Q7PH33PIPA \
  | 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: 71713f0e1a69daeba9fa87de7dede8781fe140e1e6682a6c9f8ea53aa902633d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252ec579aafcc59e7d8870bf75b527f4ef1cfc09afb85f0cebd55d0f0a54a9f5",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-09-26T19:21:21Z",
    "title_canon_sha256": "c1335c57b53e0d00d9f0d1eedd7ba03e0d49c41f1dc685fb28c442039854d367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09228",
    "kind": "arxiv",
    "version": 1
  }
}