Pith Number

pith:QK5FK63E

pith:2013:QK5FK63EB5CDJAQLPZYIZ2EFBA

not attested not anchored not stored refs pending

Maximally reducible monodromy of bivariate hypergeometric systems

Susumu Tanab\'e, Timur Sadykov

arxiv:1309.1564 v2 · 2013-09-06 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QK5FK63EB5CDJAQLPZYIZ2EFBA}

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	2026-05-18T01:03:33.029221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82ba557b640f4434820b7e708ce885082e228446f5f5fdae98f3fc681879bb6b

Aliases

arxiv: 1309.1564 · arxiv_version: 1309.1564v2 · doi: 10.48550/arxiv.1309.1564 · pith_short_12: QK5FK63EB5CD · pith_short_16: QK5FK63EB5CDJAQL · pith_short_8: QK5FK63E

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/QK5FK63EB5CDJAQLPZYIZ2EFBA \
  | 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: 82ba557b640f4434820b7e708ce885082e228446f5f5fdae98f3fc681879bb6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bd8799a0b8ec94e2d6b8124f7e58e7c552cb433493b980a9d367579131957ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-09-06T08:42:44Z",
    "title_canon_sha256": "5e5f9bd07feb1964174aadf4ff82c6abd0efa9970ed0d12af83cb9ae7b276045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1564",
    "kind": "arxiv",
    "version": 2
  }
}