Pith Number

pith:ZUMHPG4J

pith:2017:ZUMHPG4J2I2BEQBH7PLMJ55ZYH

not attested not anchored not stored refs pending

A sequent calculus for the Tamari order

Noam Zeilberger

arxiv:1701.02917 v1 · 2017-01-11 · cs.LO · 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{ZUMHPG4J2I2BEQBH7PLMJ55ZYH}

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	2026-05-18T00:52:59.829010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd18779b89d234124027fbd6c4f7b9c1c8dac2e7fbd55a057991321146c95e4a

Aliases

arxiv: 1701.02917 · arxiv_version: 1701.02917v1 · doi: 10.48550/arxiv.1701.02917 · pith_short_12: ZUMHPG4J2I2B · pith_short_16: ZUMHPG4J2I2BEQBH · pith_short_8: ZUMHPG4J

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/ZUMHPG4J2I2BEQBH7PLMJ55ZYH \
  | 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: cd18779b89d234124027fbd6c4f7b9c1c8dac2e7fbd55a057991321146c95e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b840a9c7677eec3f1cf4b8d32d9349d74a7833767b5ecd2ddf9e0e5ed71ba0c3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-01-11T10:31:04Z",
    "title_canon_sha256": "e16da259cb9b9b1f419eff0f73747832e8a1a795fb7d493f6efce5963ae6171f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02917",
    "kind": "arxiv",
    "version": 1
  }
}