Pith Number

pith:JY24W3HT

pith:2014:JY24W3HTV7R4QI65CS7GF6H6JK

not attested not anchored not stored refs pending

Duke's Theorem for subcollections

Manfred Einsiedler, Menny Aka

arxiv:1403.2016 v2 · 2014-03-08 · math.DS · 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{JY24W3HTV7R4QI65CS7GF6H6JK}

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	2026-05-17T23:53:14.585503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e35cb6cf3afe3c823dd14be62f8fe4aa76af9d4211a4ee6c812334f2613f44e

Aliases

arxiv: 1403.2016 · arxiv_version: 1403.2016v2 · doi: 10.48550/arxiv.1403.2016 · pith_short_12: JY24W3HTV7R4 · pith_short_16: JY24W3HTV7R4QI65 · pith_short_8: JY24W3HT

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/JY24W3HTV7R4QI65CS7GF6H6JK \
  | 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: 4e35cb6cf3afe3c823dd14be62f8fe4aa76af9d4211a4ee6c812334f2613f44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0186449b4b559016a95736bed8dac7d1b142736d5b4265437f7a0f13567a9f5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-08T23:52:04Z",
    "title_canon_sha256": "713ad62a4d794e63980fdeb9f19b8208642d37d3b2bd0b156de6570fb628f776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2016",
    "kind": "arxiv",
    "version": 2
  }
}