Pith Number

pith:4IVDTN3G

pith:2013:4IVDTN3G3Z6BNGT3B5R373IX2H

not attested not anchored not stored refs pending

Zeros of Witten zeta functions and absolute limit

Hiroyuki Ochiai, Nobushige Kurokawa

arxiv:1304.3543 v1 · 2013-04-12 · 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{4IVDTN3G3Z6BNGT3B5R373IX2H}

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	2026-05-18T03:28:07.345948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22a39b766de7c169a7b0f63bfed17d1c4d437ef9bf906da047570554ef42c3d

Aliases

arxiv: 1304.3543 · arxiv_version: 1304.3543v1 · doi: 10.48550/arxiv.1304.3543 · pith_short_12: 4IVDTN3G3Z6B · pith_short_16: 4IVDTN3G3Z6BNGT3 · pith_short_8: 4IVDTN3G

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/4IVDTN3G3Z6BNGT3B5R373IX2H \
  | 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: e22a39b766de7c169a7b0f63bfed17d1c4d437ef9bf906da047570554ef42c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b63a5c4019e07ea4034242d3aa233c58fbccb95fe876f4d8a794e28e7687d6fd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-12T05:59:01Z",
    "title_canon_sha256": "0ecb3741ab8badda394e5d034ed5143a746c87eac1a99a40acb2e215eac6d6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3543",
    "kind": "arxiv",
    "version": 1
  }
}