Pith Number

pith:AFMZ75BE

pith:2012:AFMZ75BEHJHC67544NYFBJVK47

not attested not anchored not stored refs pending

Linear relations of zeroes of the zeta-function

Darcy Best, Tim Trudgian

arxiv:1209.3843 v3 · 2012-09-18 · 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{AFMZ75BEHJHC67544NYFBJVK47}

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	2026-05-18T01:37:33.324053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01599ff4243a4e2f7fbce37050a6aae7eda54772ee089db9e7dd91e6478b5b49

Aliases

arxiv: 1209.3843 · arxiv_version: 1209.3843v3 · doi: 10.48550/arxiv.1209.3843 · pith_short_12: AFMZ75BEHJHC · pith_short_16: AFMZ75BEHJHC6754 · pith_short_8: AFMZ75BE

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/AFMZ75BEHJHC67544NYFBJVK47 \
  | 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: 01599ff4243a4e2f7fbce37050a6aae7eda54772ee089db9e7dd91e6478b5b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a075f9a60aa01626f42efd014cfb855344237346a8b3e22b5ec0ea185b509d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-18T04:38:00Z",
    "title_canon_sha256": "8717f4bbb89a618eb3c274ef92231015c28734dcab53efe739bdd4acd6fa6125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3843",
    "kind": "arxiv",
    "version": 3
  }
}