Pith Number

pith:QIZHNVGD

pith:2018:QIZHNVGDF2M7THIKYMNDTAR7YT

not attested not anchored not stored refs pending

Polynomial graph invariants and the KP hierarchy

Maxim Kazarian, Sergei Chmutov, Sergey Lando

arxiv:1803.09800 v2 · 2018-03-26 · math.CO · math-ph · math.AG · math.AT · 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{QIZHNVGDF2M7THIKYMNDTAR7YT}

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	2026-05-18T00:16:02.769108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823276d4c32e99f99d0ac31a39823fc4c11a6389f2d8c089e6abdf44d220af2d

Aliases

arxiv: 1803.09800 · arxiv_version: 1803.09800v2 · doi: 10.48550/arxiv.1803.09800 · pith_short_12: QIZHNVGDF2M7 · pith_short_16: QIZHNVGDF2M7THIK · pith_short_8: QIZHNVGD

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/QIZHNVGDF2M7THIKYMNDTAR7YT \
  | 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: 823276d4c32e99f99d0ac31a39823fc4c11a6389f2d8c089e6abdf44d220af2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc667c3a25a175fc2045c51dcd1a37f06e478a630915a670aab762c6ef8aafe9",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-26T19:14:55Z",
    "title_canon_sha256": "75a795924d5d55673ddca187f27ca7a1a450c19b0e0380ce62a9665ed450d087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09800",
    "kind": "arxiv",
    "version": 2
  }
}