Pith Number

pith:6EMJ2VHU

pith:2011:6EMJ2VHUATF5UNBAE7INMICDVF

not attested not anchored not stored refs pending

Sur une op\'erade ternaire li\'ee aux treillis de Tamari

Fr\'ed\'eric Chapoton (ICJ)

arxiv:1103.3755 v2 · 2011-03-19 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EMJ2VHUATF5UNBAE7INMICDVF}

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	2026-05-18T04:22:10.878080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1189d54f404cbda342027d0d62043a966a5c12da8c2cc15d3178581051f9857

Aliases

arxiv: 1103.3755 · arxiv_version: 1103.3755v2 · doi: 10.48550/arxiv.1103.3755 · pith_short_12: 6EMJ2VHUATF5 · pith_short_16: 6EMJ2VHUATF5UNBA · pith_short_8: 6EMJ2VHU

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/6EMJ2VHUATF5UNBAE7INMICDVF \
  | 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: f1189d54f404cbda342027d0d62043a966a5c12da8c2cc15d3178581051f9857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf0e7fbcdd2e6f9756eaf3aa4c01d57da1a9d6d83c4ecc10bbef12e19eb97a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-03-19T06:19:36Z",
    "title_canon_sha256": "7927ea2590f49497c61ca19129bc4b297f11c27fe4666db94b9b36bf61084a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3755",
    "kind": "arxiv",
    "version": 2
  }
}