Pith Number

pith:B2D5UKRA

pith:2011:B2D5UKRAMJPI6VPEC4WAXY7UE2

not attested not anchored not stored refs pending

Posetted trees and Baker-Campbell-Hausdorff product

Donatella Iacono, Marco Manetti

arxiv:1106.4685 v1 · 2011-06-23 · 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{B2D5UKRAMJPI6VPEC4WAXY7UE2}

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	2026-05-18T03:27:11.635086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e87da2a20625e8f55e4172c0be3f426a5cc9d68876740c1eb934927a2b0addd

Aliases

arxiv: 1106.4685 · arxiv_version: 1106.4685v1 · doi: 10.48550/arxiv.1106.4685 · pith_short_12: B2D5UKRAMJPI · pith_short_16: B2D5UKRAMJPI6VPE · pith_short_8: B2D5UKRA

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/B2D5UKRAMJPI6VPEC4WAXY7UE2 \
  | 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: 0e87da2a20625e8f55e4172c0be3f426a5cc9d68876740c1eb934927a2b0addd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba17729cb49bfe05b9653bfec61276bbba08d8a67bad54cbcea026fc7eeb2e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-23T11:09:04Z",
    "title_canon_sha256": "ab78fe02566658a13b1ee9bdcefd1fb6bac0c79cea8ece0167742da086a5a445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4685",
    "kind": "arxiv",
    "version": 1
  }
}