Pith Number

pith:2PF6VCIO

pith:2014:2PF6VCIOZYFAVHV5GAMLXLQNOI

not attested not anchored not stored refs pending

Warning's Second Theorem with Resricted Variables

Aden Forrow, John R. Schmitt, Pete L. Clark

arxiv:1404.7793 v2 · 2014-04-30 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PF6VCIOZYFAVHV5GAMLXLQNOI}

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	2026-05-18T02:52:13.809306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3cbea890ece0a0a9ebd3018bbae0d720e7e31133e2c89e26d6d80d42e2ea00f

Aliases

arxiv: 1404.7793 · arxiv_version: 1404.7793v2 · doi: 10.48550/arxiv.1404.7793 · pith_short_12: 2PF6VCIOZYFA · pith_short_16: 2PF6VCIOZYFAVHV5 · pith_short_8: 2PF6VCIO

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/2PF6VCIOZYFAVHV5GAMLXLQNOI \
  | 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: d3cbea890ece0a0a9ebd3018bbae0d720e7e31133e2c89e26d6d80d42e2ea00f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "735fbe280834c4fce950043ec8957d3ea65f722209b9127266e8c648e0ea3d1f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-30T16:50:40Z",
    "title_canon_sha256": "6c8087eaf00a48b38def4dc6cc2e075e3a6dfbfea478f15f27e0af93cf9a2e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7793",
    "kind": "arxiv",
    "version": 2
  }
}