Pith Number

pith:G7QYVHZO

pith:2017:G7QYVHZONSRDGKNMB3KBDBQJTG

not attested not anchored not stored refs pending

The distribution of primes and Euler characreristic

Kazunori Noguchi

arxiv:1711.03001 v1 · 2017-11-07 · 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{G7QYVHZONSRDGKNMB3KBDBQJTG}

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	2026-05-18T00:31:01.112288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e18a9f2e6ca23329ac0ed411860999ad021c119c4ea2699d8ad4216792bec8

Aliases

arxiv: 1711.03001 · arxiv_version: 1711.03001v1 · doi: 10.48550/arxiv.1711.03001 · pith_short_12: G7QYVHZONSRD · pith_short_16: G7QYVHZONSRDGKNM · pith_short_8: G7QYVHZO

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/G7QYVHZONSRDGKNMB3KBDBQJTG \
  | 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: 37e18a9f2e6ca23329ac0ed411860999ad021c119c4ea2699d8ad4216792bec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba50627b6093ec35effa471bc5b8f39da5cf49f42e1b8fc1fe987dfc092f647",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-07T06:17:07Z",
    "title_canon_sha256": "f6f4571cf2b30c822da762fa121a452e5f3f693b47e47df114f54e7022263713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03001",
    "kind": "arxiv",
    "version": 1
  }
}