Pith Number

pith:QGP52RHT

pith:2012:QGP52RHTKOFCJ7ZRIZRBJDCRW2

not attested not anchored not stored refs pending

Counting Proper Mergings of Chains and Antichains

Henri M\"uhle

arxiv:1206.3922 v1 · 2012-06-18 · 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{QGP52RHTKOFCJ7ZRIZRBJDCRW2}

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	2026-05-18T01:10:33.860845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819fdd44f3538a24ff314662148c51b6a44baf7579354906f796af10cc04c6b6

Aliases

arxiv: 1206.3922 · arxiv_version: 1206.3922v1 · doi: 10.48550/arxiv.1206.3922 · pith_short_12: QGP52RHTKOFC · pith_short_16: QGP52RHTKOFCJ7ZR · pith_short_8: QGP52RHT

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/QGP52RHTKOFCJ7ZRIZRBJDCRW2 \
  | 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: 819fdd44f3538a24ff314662148c51b6a44baf7579354906f796af10cc04c6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a228ded5494b27f67b72423db56b4c918bc76f65a376fb657b1b3a0e063f1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-18T13:25:25Z",
    "title_canon_sha256": "8b0d011a260a03b075245b02935fce1e6f56b869eb913fb5727f9b61a68ea866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3922",
    "kind": "arxiv",
    "version": 1
  }
}