Pith Number

pith:AZH57XCJ

pith:2018:AZH57XCJ4YG3LDTN5KTAN7W7LJ

not attested not anchored not stored refs pending

A functional logarithmic formula for hypergeometric functions 3F2

Masanori Asakura, Noriyuki Otsubo

arxiv:1801.06312 v1 · 2018-01-19 · 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{AZH57XCJ4YG3LDTN5KTAN7W7LJ}

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	2026-05-18T00:25:30.535669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064fdfdc49e60db58e6deaa606fedf5a4d74619600694a7bbeae614a7470c5a5

Aliases

arxiv: 1801.06312 · arxiv_version: 1801.06312v1 · doi: 10.48550/arxiv.1801.06312 · pith_short_12: AZH57XCJ4YG3 · pith_short_16: AZH57XCJ4YG3LDTN · pith_short_8: AZH57XCJ

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/AZH57XCJ4YG3LDTN5KTAN7W7LJ \
  | 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: 064fdfdc49e60db58e6deaa606fedf5a4d74619600694a7bbeae614a7470c5a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76ad4db0f0f16787034703791a7bc6d998506f057356611e15842b0cfe285afc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-19T06:35:08Z",
    "title_canon_sha256": "6e7b034bd021bf2e2d2e1716889e595921c01543e888cb3310076805e8e6ba15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06312",
    "kind": "arxiv",
    "version": 1
  }
}