Pith Number

pith:2NSIJB3T

pith:2011:2NSIJB3TYDHXXHWW3RWXDX5ZB3

not attested not anchored not stored refs pending

Fife's Theorem Revisited

Jeffrey Shallit

arxiv:1102.3932 v3 · 2011-02-18 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NSIJB3TYDHXXHWW3RWXDX5ZB3}

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	2026-05-18T04:16:43.553367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d364848773c0cf7b9ed6dc6d71dfb90ec186a937520b778fed67c3608cd01cbb

Aliases

arxiv: 1102.3932 · arxiv_version: 1102.3932v3 · doi: 10.48550/arxiv.1102.3932 · pith_short_12: 2NSIJB3TYDHX · pith_short_16: 2NSIJB3TYDHXXHWW · pith_short_8: 2NSIJB3T

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/2NSIJB3TYDHXXHWW3RWXDX5ZB3 \
  | 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: d364848773c0cf7b9ed6dc6d71dfb90ec186a937520b778fed67c3608cd01cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c27a2ad859b520d35db2cfacb76daae76aad807f65a43df3f821dfecf487b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-02-18T23:03:45Z",
    "title_canon_sha256": "b9f73a243777daf500a982c59cffe5c7e832132e07c78f04f7375b5c67b5ca99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3932",
    "kind": "arxiv",
    "version": 3
  }
}