Pith Number

pith:PFFE6KPI

pith:2017:PFFE6KPIV42W7FGNKCCTWLBAAN

not attested not anchored not stored refs pending

Solutions modulo $p$ of Gauss-Manin differential equations for multidimensional hypergeometric integrals and associated Bethe ansatz

Alexander Varchenko

arxiv:1709.06189 v2 · 2017-09-18 · math.AG · math-ph · math.MP · math.NT · 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{PFFE6KPIV42W7FGNKCCTWLBAAN}

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	2026-05-18T00:32:57.254071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794a4f29e8af356f94cd50853b2c200343dc36dc5c5336cc58251c1899b01703

Aliases

arxiv: 1709.06189 · arxiv_version: 1709.06189v2 · doi: 10.48550/arxiv.1709.06189 · pith_short_12: PFFE6KPIV42W · pith_short_16: PFFE6KPIV42W7FGN · pith_short_8: PFFE6KPI

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/PFFE6KPIV42W7FGNKCCTWLBAAN \
  | 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: 794a4f29e8af356f94cd50853b2c200343dc36dc5c5336cc58251c1899b01703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c77e507525e38b39b97543c33ab5c5adeabd35066e7360674df51f806687c40",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-18T22:16:51Z",
    "title_canon_sha256": "68918ee2a2814563cdfa635178cb5ffe09b14f0ae4825b160720aecaeab65d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06189",
    "kind": "arxiv",
    "version": 2
  }
}