Pith Number

pith:2JIC6PTE

pith:2011:2JIC6PTEPLZXM7O2TQCJLHXVNZ

not attested not anchored not stored refs pending

Counting (3+1) - Avoiding permutations

Bruce E. Sagan, M. D. Atkinson, Vincent Vatter

arxiv:1102.5568 v1 · 2011-02-28 · 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{2JIC6PTEPLZXM7O2TQCJLHXVNZ}

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	2026-05-18T04:27:46.556818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2502f3e647af3767dda9c04959ef56e7a0b112092478e7f8623fc9b8a46238c

Aliases

arxiv: 1102.5568 · arxiv_version: 1102.5568v1 · doi: 10.48550/arxiv.1102.5568 · pith_short_12: 2JIC6PTEPLZX · pith_short_16: 2JIC6PTEPLZXM7O2 · pith_short_8: 2JIC6PTE

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/2JIC6PTEPLZXM7O2TQCJLHXVNZ \
  | 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: d2502f3e647af3767dda9c04959ef56e7a0b112092478e7f8623fc9b8a46238c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d7643ef24a00097f2ca3f08681a23936161bca3f15b9e1d2a0be84e65ffe8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-28T01:41:42Z",
    "title_canon_sha256": "18d9c1e355c9ce449f875c0cbaf9256998c99fedc88d9596071e513baa19f9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5568",
    "kind": "arxiv",
    "version": 1
  }
}