Pith Number

pith:KDQT7CYX

pith:2016:KDQT7CYXGXBAQZJRFYPRCN5JMN

not attested not anchored not stored refs pending

Chains in shard lattices and BHZ posets

Christophe Hohlweg (LaCIM), Fr\'ed\'eric Chapoton (IRMA), Hugh Thomas (LaCIM), Pierre Baumann (IRMA)

arxiv:1609.03808 v1 · 2016-09-13 · 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{KDQT7CYXGXBAQZJRFYPRCN5JMN}

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	2026-05-18T01:04:42.364558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50e13f8b1735c20865312e1f1137a9634345ed5ae07528580a6d3fa9e7f04b44

Aliases

arxiv: 1609.03808 · arxiv_version: 1609.03808v1 · doi: 10.48550/arxiv.1609.03808 · pith_short_12: KDQT7CYXGXBA · pith_short_16: KDQT7CYXGXBAQZJR · pith_short_8: KDQT7CYX

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/KDQT7CYXGXBAQZJRFYPRCN5JMN \
  | 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: 50e13f8b1735c20865312e1f1137a9634345ed5ae07528580a6d3fa9e7f04b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85bed0d35f42482da8a7c3fc52473ba483e1a21c6337105b392b574787a24312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-13T12:55:15Z",
    "title_canon_sha256": "6bcab64334135b006e3dc155300088e27360937beafc37e809bfbeed9a50bfdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03808",
    "kind": "arxiv",
    "version": 1
  }
}