Pith Number

pith:VI5SAK5Y

pith:2014:VI5SAK5YM6WUZZH3JMISUMJONJ

not attested not anchored not stored refs pending

Distribution of orders in number fields

Jake Marcinek, Nathan Kaplan, Ramin Takloo-Bighash

arxiv:1408.1374 v2 · 2014-08-06 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VI5SAK5YM6WUZZH3JMISUMJONJ}

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	2026-05-18T02:18:40.853817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3b202bb867ad4ce4fb4b112a312e6a6c4eb7334ef822749f142ce48e1ed30c

Aliases

arxiv: 1408.1374 · arxiv_version: 1408.1374v2 · doi: 10.48550/arxiv.1408.1374 · pith_short_12: VI5SAK5YM6WU · pith_short_16: VI5SAK5YM6WUZZH3 · pith_short_8: VI5SAK5Y

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/VI5SAK5YM6WUZZH3JMISUMJONJ \
  | 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: aa3b202bb867ad4ce4fb4b112a312e6a6c4eb7334ef822749f142ce48e1ed30c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700a5d243405ffbc39f2806935a6704810f5d8b624554506a77d55fa2eceaf1a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-06T18:46:54Z",
    "title_canon_sha256": "42ce14446c8b1a067abfa8bfb0ac8fec79a04b0948a5aabc6d3c413d09b384bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1374",
    "kind": "arxiv",
    "version": 2
  }
}