Pith Number

pith:ZFJLUALL

pith:2012:ZFJLUALLHBVYZHDQ3UVTGZQU7Q

not attested not anchored not stored refs pending

Irregular Modified $A$-Hypergeometric Systems

Francisco-Jesus Castro-Jimenez, Maria-Cruz Fernandez-Fernandez, Nobuki Takayama, Tatsuya Koike

arxiv:1207.1533 v2 · 2012-07-06 · math.CA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFJLUALLHBVYZHDQ3UVTGZQU7Q}

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	2026-05-18T01:10:55.033153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c952ba016b386b8c9c70dd2b336614fc0e3c53cfd5f43555f67b016b25f196c4

Aliases

arxiv: 1207.1533 · arxiv_version: 1207.1533v2 · doi: 10.48550/arxiv.1207.1533 · pith_short_12: ZFJLUALLHBVY · pith_short_16: ZFJLUALLHBVYZHDQ · pith_short_8: ZFJLUALL

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/ZFJLUALLHBVYZHDQ3UVTGZQU7Q \
  | 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: c952ba016b386b8c9c70dd2b336614fc0e3c53cfd5f43555f67b016b25f196c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ef5bdf8a47247ab41c5aff97a0ac964784e1cdfcaefacfa9147b7f754e60d0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-06T06:40:38Z",
    "title_canon_sha256": "d1d4972392d2c8528df9b87a0d2587d99e625d75bfd814b53e2c84b0743c1c22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1533",
    "kind": "arxiv",
    "version": 2
  }
}