Pith Number

pith:W3KO3EZS

pith:2013:W3KO3EZSSU26237IM4ITVKSLUJ

not attested not anchored not stored refs pending

Heights of mixed motives

Kazuya Kato

arxiv:1306.5693 v2 · 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{W3KO3EZSSU26237IM4ITVKSLUJ}

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	2026-05-18T03:19:23.226441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d4ed93329535ed6fe867113aaa4ba2706e83594b206580cdbec9441e1e0ec4

Aliases

arxiv: 1306.5693 · arxiv_version: 1306.5693v2 · doi: 10.48550/arxiv.1306.5693 · pith_short_12: W3KO3EZSSU26 · pith_short_16: W3KO3EZSSU26237I · pith_short_8: W3KO3EZS

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/W3KO3EZSSU26237IM4ITVKSLUJ \
  | 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: b6d4ed93329535ed6fe867113aaa4ba2706e83594b206580cdbec9441e1e0ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498946a05b2dd98af989569f5d7d3e223e2c03b3da6182484fbbc5e3fcfe72b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-24T17:59:15Z",
    "title_canon_sha256": "640ffc76a78696f101dc5eb0ddf38adde40da2b2d9f99465f8555c84a8339f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5693",
    "kind": "arxiv",
    "version": 2
  }
}