Pith Number

pith:PQ4RUGN2

pith:2012:PQ4RUGN2TBP6JS3SZN245UCM7Q

not attested not anchored not stored refs pending

C-sortable words as green mutation sequences

Yu Qiu

arxiv:1205.0034 v3 · 2012-04-30 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQ4RUGN2TBP6JS3SZN245UCM7Q}

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	2026-05-18T00:44:30.382029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c391a19ba985fe4cb72cb75ced04cfc0e55f757604e9c2149bff726e5dcfda5

Aliases

arxiv: 1205.0034 · arxiv_version: 1205.0034v3 · doi: 10.48550/arxiv.1205.0034 · pith_short_12: PQ4RUGN2TBP6 · pith_short_16: PQ4RUGN2TBP6JS3S · pith_short_8: PQ4RUGN2

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/PQ4RUGN2TBP6JS3SZN245UCM7Q \
  | 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: 7c391a19ba985fe4cb72cb75ced04cfc0e55f757604e9c2149bff726e5dcfda5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e74ae80aaf1fb5550fc249677624036171ee87dc3b426bb397af1bc2b7ee3260",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-30T21:30:47Z",
    "title_canon_sha256": "38f8ecbbdffd3efa87903472719bc146b5e4ae750a88eb2fa1a059b226a79c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0034",
    "kind": "arxiv",
    "version": 3
  }
}