Pith Number

pith:R3ZGME3T

pith:2012:R3ZGME3TAWGOV6EQAGZWJYJ32T

not attested not anchored not stored refs pending

A symmetrical q-Eulerian identity

Guoniu Han, Jiang Zeng, Zhicong Lin

arxiv:1201.4941 v2 · 2012-01-24 · 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{R3ZGME3TAWGOV6EQAGZWJYJ32T}

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	2026-05-18T03:59:01.226423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef2661373058ceaf89001b364e13bd4fd8da855527be150e9c0b41583ac8561

Aliases

arxiv: 1201.4941 · arxiv_version: 1201.4941v2 · doi: 10.48550/arxiv.1201.4941 · pith_short_12: R3ZGME3TAWGO · pith_short_16: R3ZGME3TAWGOV6EQ · pith_short_8: R3ZGME3T

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/R3ZGME3TAWGOV6EQAGZWJYJ32T \
  | 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: 8ef2661373058ceaf89001b364e13bd4fd8da855527be150e9c0b41583ac8561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e01f16b1df4bb5ffe0b5d92888dd4511f493be08bc30b9e1474385bf9c2d200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-24T10:28:00Z",
    "title_canon_sha256": "6add568ab7a596012e6cc336ca2977e8cf9815cbb93bf19d85a0ee21e7380a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4941",
    "kind": "arxiv",
    "version": 2
  }
}