Pith Number

pith:X3CFBLUL

pith:2014:X3CFBLULCXGMGUE5UMYUPZZQKW

not attested not anchored not stored refs pending

Averaging algebras, Schr\"oder numbers, rooted trees and operads

Jun Pei, Li Guo

arxiv:1401.7386 v2 · 2014-01-29 · math.RA · 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{X3CFBLULCXGMGUE5UMYUPZZQKW}

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	2026-05-18T01:30:15.660162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec450ae8b15ccc3509da33147e73055a6061f94c46983eef83e381350f831f4

Aliases

arxiv: 1401.7386 · arxiv_version: 1401.7386v2 · doi: 10.48550/arxiv.1401.7386 · pith_short_12: X3CFBLULCXGM · pith_short_16: X3CFBLULCXGMGUE5 · pith_short_8: X3CFBLUL

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/X3CFBLULCXGMGUE5UMYUPZZQKW \
  | 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: bec450ae8b15ccc3509da33147e73055a6061f94c46983eef83e381350f831f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f69b99dfda600e1ca9e00a4ef85ee8d3486afa7501e5738d5fedbdfe5a1f391",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-01-29T01:51:22Z",
    "title_canon_sha256": "d63312f218eef512bcffb0180201c7d47b7fa8432164b0a2beb4672283e6643e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7386",
    "kind": "arxiv",
    "version": 2
  }
}