Pith Number

pith:GJXKAGFY

pith:2011:GJXKAGFY7FFGOJ4XWCZEC6FTTL

not attested not anchored not stored refs pending

Fife's Theorem for (7/3)-Powers

Arseny Shur (Department of Algebra, Discrete Mathematics, Jeffrey Shallit (School of Computer Science, Narad Rampersad (Department of Mathematics, University of Li\`ege), University of Waterloo), Ural Federal University)

arxiv:1104.3500 v2 · 2011-04-18 · cs.FL · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJXKAGFY7FFGOJ4XWCZEC6FTTL}

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	2026-05-18T04:15:16.264516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326ea018b8f94a672797b0b24178b39ae63d32c5b79cad170fdc2d2f0aa893c5

Aliases

arxiv: 1104.3500 · arxiv_version: 1104.3500v2 · doi: 10.48550/arxiv.1104.3500 · pith_short_12: GJXKAGFY7FFG · pith_short_16: GJXKAGFY7FFGOJ4X · pith_short_8: GJXKAGFY

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/GJXKAGFY7FFGOJ4XWCZEC6FTTL \
  | 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: 326ea018b8f94a672797b0b24178b39ae63d32c5b79cad170fdc2d2f0aa893c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77422994a0620848f403fe9aea85a2a8c332adfae5441ff6764bb492fdd1a90d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-04-18T14:45:49Z",
    "title_canon_sha256": "7ea59ebdf82d0134ac46c53d72cfbe2f19bf73e1d8af917ea1f935a95840ad3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3500",
    "kind": "arxiv",
    "version": 2
  }
}