Pith Number

pith:NJGNNW7J

pith:2013:NJGNNW7JISRZRRU55N6ZV6EK26

not attested not anchored not stored refs pending

Height of motives

Kazuya Kato

arxiv:1306.5691 v1 · 2013-06-24 · 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{NJGNNW7JISRZRRU55N6ZV6EK26}

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	2026-05-18T03:20:07.245882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4cd6dbe944a398c69deb7d9af88ad79f875f36b73275382a01e1ebea60c056

Aliases

arxiv: 1306.5691 · arxiv_version: 1306.5691v1 · doi: 10.48550/arxiv.1306.5691 · pith_short_12: NJGNNW7JISRZ · pith_short_16: NJGNNW7JISRZRRU5 · pith_short_8: NJGNNW7J

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/NJGNNW7JISRZRRU55N6ZV6EK26 \
  | 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: 6a4cd6dbe944a398c69deb7d9af88ad79f875f36b73275382a01e1ebea60c056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89727007d224e9593b86594136f06f3dc829361b3b7889ceb26806fe2260d8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-24T17:54:29Z",
    "title_canon_sha256": "291a0fa1e8b873f1b6b3d5b3bd3a621e148d47237bf51dafb4d9b9ab0dbcbbb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5691",
    "kind": "arxiv",
    "version": 1
  }
}