Pith Number

pith:C6D2TRBS

pith:2011:C6D2TRBSHKVHXWWHGEMN2N2OGS

not attested not anchored not stored refs pending

Limiting distributions for the number of inversions in labelled tree families

Alois Panholzer, Georg Seitz

arxiv:1101.4790 v1 · 2011-01-25 · 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{C6D2TRBSHKVHXWWHGEMN2N2OGS}

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	2026-05-18T04:30:58.983833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1787a9c4323aaa7bdac73118dd374e34b86c21adc8220eacee9d1039ffa865b8

Aliases

arxiv: 1101.4790 · arxiv_version: 1101.4790v1 · doi: 10.48550/arxiv.1101.4790 · pith_short_12: C6D2TRBSHKVH · pith_short_16: C6D2TRBSHKVHXWWH · pith_short_8: C6D2TRBS

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/C6D2TRBSHKVHXWWHGEMN2N2OGS \
  | 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: 1787a9c4323aaa7bdac73118dd374e34b86c21adc8220eacee9d1039ffa865b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3026e0aea0cf819d57cd001b7b239d7bcc97fa9880c945bb2cedeb4b0a85a494",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-25T12:37:24Z",
    "title_canon_sha256": "d43f6166ca22f2163b2d01e2cfe77e8585372061f7d42fa2ef150266220db008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4790",
    "kind": "arxiv",
    "version": 1
  }
}