Pith Number

pith:6EX5QUBX

pith:2025:6EX5QUBX47N6FONNMTSNYSCVNO

not attested not anchored not stored refs pending

Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation

Hironobu Kimura

arxiv:2506.04638 v1 · 2025-06-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EX5QUBX47N6FONNMTSNYSCVNO}

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.

Cited by

1 paper in Pith

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II

Receipt and verification

First computed	2026-07-05T11:16:18.280855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12fd85037e7dbe2b9ad64e4dc48556bac54c5a7960d32e7e3499f26f47792eb

Aliases

arxiv: 2506.04638 · arxiv_version: 2506.04638v1 · doi: 10.48550/arxiv.2506.04638 · pith_short_12: 6EX5QUBX47N6 · pith_short_16: 6EX5QUBX47N6FONN · pith_short_8: 6EX5QUBX

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/6EX5QUBX47N6FONNMTSNYSCVNO \
  | 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: f12fd85037e7dbe2b9ad64e4dc48556bac54c5a7960d32e7e3499f26f47792eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec3594db75a314e72f53dc4e175739e7cc0a5e13b0e694545235cadf6133b9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-05T05:18:22Z",
    "title_canon_sha256": "76c51b671de178b8c5644fd1ea321f7c23d8d228f7e873636212bb913274d0bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04638",
    "kind": "arxiv",
    "version": 1
  }
}