Pith Number

pith:PLQZHFUE

pith:2019:PLQZHFUE2KMZDPW3Z3PONLRZRN

not attested not anchored not stored refs pending

Gevrey expansions of hypergeometric integrals II

Francisco-Jes\'us Castro-Jim\'enez, Mar\'ia-Cruz Fern\'andez-Fern\'andez, Michel Granger

arxiv:1904.07584 v1 · 2019-04-16 · math.AG · 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{PLQZHFUE2KMZDPW3Z3PONLRZRN}

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	2026-05-17T23:48:24.774072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ae1939684d29991bedbcedee6ae398b46778c9be1c78ea3357c7f86010a9df2

Aliases

arxiv: 1904.07584 · arxiv_version: 1904.07584v1 · doi: 10.48550/arxiv.1904.07584 · pith_short_12: PLQZHFUE2KMZ · pith_short_16: PLQZHFUE2KMZDPW3 · pith_short_8: PLQZHFUE

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/PLQZHFUE2KMZDPW3Z3PONLRZRN \
  | 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: 7ae1939684d29991bedbcedee6ae398b46778c9be1c78ea3357c7f86010a9df2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34aeab6a15190132f816a78b9d48541e22063500d64ac9723f2e815d54a3eb2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-16T10:34:33Z",
    "title_canon_sha256": "2af0202eb7ede279eca6f84201fd6dfa1c6da2ae4b09f8394828b049ccc8e1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07584",
    "kind": "arxiv",
    "version": 1
  }
}