Pith Number

pith:Q3P352VR

pith:2013:Q3P352VR6FRDJCWPLY24CV2KKG

not attested not anchored not stored refs pending

Dualities for absolute zeta functions and multiple gamma functions

Hiroyuki Ochiai, Nobushige Kurokawa

arxiv:1304.2472 v1 · 2013-04-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3P352VR6FRDJCWPLY24CV2KKG}

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	2026-05-18T03:28:31.911866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86dfbeeab1f162348acf5e35c1574a5193066bcb5756197aa7aba32cd3947721

Aliases

arxiv: 1304.2472 · arxiv_version: 1304.2472v1 · doi: 10.48550/arxiv.1304.2472 · pith_short_12: Q3P352VR6FRD · pith_short_16: Q3P352VR6FRDJCWP · pith_short_8: Q3P352VR

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/Q3P352VR6FRDJCWPLY24CV2KKG \
  | 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: 86dfbeeab1f162348acf5e35c1574a5193066bcb5756197aa7aba32cd3947721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a377ae2355d77165febb9dcdf0a8254910f9840506c142a84cb3f77f67acf53",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-09T07:07:28Z",
    "title_canon_sha256": "5ed254213e8191e722ca7324b8c2bcb8677d80daf3baeef3dfa485f45d1a9ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2472",
    "kind": "arxiv",
    "version": 1
  }
}