Pith Number

pith:Q5WQY5RA

pith:2018:Q5WQY5RA6RVZWMYRXLS6LIDTLU

not attested not anchored not stored refs pending

Laplace, Residue, and Euler integral representations of GKZ hypergeometric functions

Saiei-Jaeyeong Matsubara-Heo

arxiv:1801.04075 v2 · 2018-01-12 · math.CA · math.AG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5WQY5RA6RVZWMYRXLS6LIDTLU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Minkowski Space holography and Radon transform

Receipt and verification

First computed	2026-05-18T00:07:40.960696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876d0c7620f46b9b3311bae5e5a0735d36f34e7ad27da0417fe18bb9406fe51d

Aliases

arxiv: 1801.04075 · arxiv_version: 1801.04075v2 · doi: 10.48550/arxiv.1801.04075 · pith_short_12: Q5WQY5RA6RVZ · pith_short_16: Q5WQY5RA6RVZWMYR · pith_short_8: Q5WQY5RA

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/Q5WQY5RA6RVZWMYRXLS6LIDTLU \
  | 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: 876d0c7620f46b9b3311bae5e5a0735d36f34e7ad27da0417fe18bb9406fe51d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c8049cf67d2944e57da82acd641a74941eb921621eb2cef297ac0f7edc9dbe",
    "cross_cats_sorted": [
      "math.AG",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-12T07:07:13Z",
    "title_canon_sha256": "47101acc84db937dae701b2dcbc59144f8dd4cb389f00e365606432320279bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04075",
    "kind": "arxiv",
    "version": 2
  }
}