Pith Number

pith:5THPLEZG

pith:2011:5THPLEZGKBQAZCGOASJQKLBJCO

not attested not anchored not stored refs pending

A classification of all 1-Salem graphs

James McKee, Lee Gumbrell

arxiv:1109.6275 v2 · 2011-09-28 · 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{5THPLEZGKBQAZCGOASJQKLBJCO}

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	2026-05-18T03:39:05.361238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eccef5932650600c88ce0493052c2913bf4e28c45cd0837c9dbbd7dddc0a37da

Aliases

arxiv: 1109.6275 · arxiv_version: 1109.6275v2 · doi: 10.48550/arxiv.1109.6275 · pith_short_12: 5THPLEZGKBQA · pith_short_16: 5THPLEZGKBQAZCGO · pith_short_8: 5THPLEZG

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/5THPLEZGKBQAZCGOASJQKLBJCO \
  | 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: eccef5932650600c88ce0493052c2913bf4e28c45cd0837c9dbbd7dddc0a37da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907831bc454b13410b9c274c37bc0f18555b0778acab83f730a20b6975f26b8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-28T17:22:01Z",
    "title_canon_sha256": "86e975463378c5d28456df050875ae7887067aa85f83a2be3f9a47d155a28f23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6275",
    "kind": "arxiv",
    "version": 2
  }
}