Pith Number

pith:JEDBGUQE

pith:2011:JEDBGUQET52ESCMWKLVQ6DBLSG

not attested not anchored not stored refs pending

A multivariate "inv" hook formula for forests

Florent Hivert, Victor Reiner

arxiv:1107.3508 v1 · 2011-07-18 · 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{JEDBGUQET52ESCMWKLVQ6DBLSG}

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	2026-05-18T04:18:02.956211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49061352049f7449099652eb0f0c2b9186762201dcdd689744ea1316211ca25d

Aliases

arxiv: 1107.3508 · arxiv_version: 1107.3508v1 · doi: 10.48550/arxiv.1107.3508 · pith_short_12: JEDBGUQET52E · pith_short_16: JEDBGUQET52ESCMW · pith_short_8: JEDBGUQE

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/JEDBGUQET52ESCMWKLVQ6DBLSG \
  | 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: 49061352049f7449099652eb0f0c2b9186762201dcdd689744ea1316211ca25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8db8ccda68aead15f58936d338344d5634e674ecdd02adcefdc8ef37cc3960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-18T17:26:10Z",
    "title_canon_sha256": "4975629dab7a9a1897826e510a0192dc59063d41fab17145bb10ab6523d500db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3508",
    "kind": "arxiv",
    "version": 1
  }
}