Pith Number

pith:4K56JPNQ

pith:2010:4K56JPNQWEGOB4CO3PCLRHMW6N

not attested not anchored not stored refs pending

Idempotents with polynomial coefficients

Alain Lascoux

arxiv:1011.5815 v1 · 2010-11-26 · 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{4K56JPNQWEGOB4CO3PCLRHMW6N}

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	2026-05-18T04:34:38.445371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bbe4bdb0b10ce0f04edbc4b89d96f3786e593bcd7a53955a33abb4baffdfa8

Aliases

arxiv: 1011.5815 · arxiv_version: 1011.5815v1 · doi: 10.48550/arxiv.1011.5815 · pith_short_12: 4K56JPNQWEGO · pith_short_16: 4K56JPNQWEGOB4CO · pith_short_8: 4K56JPNQ

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/4K56JPNQWEGOB4CO3PCLRHMW6N \
  | 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: e2bbe4bdb0b10ce0f04edbc4b89d96f3786e593bcd7a53955a33abb4baffdfa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3309763ae71d40abc43ce3524b0115a30ce907ec447f312fbd1e754a2eab1bea",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-26T15:07:49Z",
    "title_canon_sha256": "f758a0ab83b2bb26f937338deb39d696e3935e3037bff91b0ca1b8ec6169289c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5815",
    "kind": "arxiv",
    "version": 1
  }
}