Pith Number

pith:7VAFZYA2

pith:2014:7VAFZYA2OYC7O7BT7OACBONDRH

not attested not anchored not stored refs pending

Two Proofs of Fine's Theorem

J.J.Halliwell

arxiv:1403.7136 v2 · 2014-03-27 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VAFZYA2OYC7O7BT7OACBONDRH}

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	2026-05-18T01:35:27.207012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd405ce01a7605f77c33fb8020b9a389d6f9e0a2081812b54e27265b37ca9e91

Aliases

arxiv: 1403.7136 · arxiv_version: 1403.7136v2 · doi: 10.48550/arxiv.1403.7136 · pith_short_12: 7VAFZYA2OYC7 · pith_short_16: 7VAFZYA2OYC7O7BT · pith_short_8: 7VAFZYA2

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/7VAFZYA2OYC7O7BT7OACBONDRH \
  | 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: fd405ce01a7605f77c33fb8020b9a389d6f9e0a2081812b54e27265b37ca9e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2dd7832570ac8a0f8d787c6665d25096a3acb31a516ae6feccec4668a8a53b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-03-27T17:18:32Z",
    "title_canon_sha256": "c2ae147a465cedb8fbcf558bb5dc99d74b4f5302ff3a9747a56555ac48d35bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7136",
    "kind": "arxiv",
    "version": 2
  }
}