Pith Number

pith:FWO2J7KC

pith:2014:FWO2J7KCAXUIBPKOIFEGINTGVJ

not attested not anchored not stored refs pending

Critical set of the master function and characteristic variety of the associated Gauss-Manin differential equations

Alexander Varchenko

arxiv:1410.2438 v3 · 2014-10-09 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWO2J7KCAXUIBPKOIFEGINTGVJ}

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	2026-05-18T01:07:21.320407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9da4fd4205e880bd4e4148643666aa74dcd257c935c4d812d9b5c96611ba29

Aliases

arxiv: 1410.2438 · arxiv_version: 1410.2438v3 · doi: 10.48550/arxiv.1410.2438 · pith_short_12: FWO2J7KCAXUI · pith_short_16: FWO2J7KCAXUIBPKO · pith_short_8: FWO2J7KC

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/FWO2J7KCAXUIBPKOIFEGINTGVJ \
  | 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: 2d9da4fd4205e880bd4e4148643666aa74dcd257c935c4d812d9b5c96611ba29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713fe20b74393440e753646435fc8cc09ae8f5d955d981b73bd66a5ffc175c94",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-09T12:16:58Z",
    "title_canon_sha256": "98e8fa05f259e88509d5521cc8e585441cb5bd0ea5aed7400b5e222f7ef6b026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2438",
    "kind": "arxiv",
    "version": 3
  }
}