Pith Number

pith:USKNPA6Q

pith:1997:USKNPA6QJX464GLDCKIASHY7Z7

not attested not anchored not stored refs pending

Simplex, associahedron, and cyclohedron

Martin Markl

arxiv:alg-geom/9707009 v1 · 1997-07-09 · alg-geom · hep-th · math.AG · math.QA · q-alg

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USKNPA6QJX464GLDCKIASHY7Z7}

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.

Cited by

1 paper in Pith

Tridendriform algebras on hypergraph polytopes, the other way around

Receipt and verification

First computed	2026-07-04T15:08:09.035288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a494d783d04df9ee19631290091f1fcfe0fb997f0dc62df31f147f943dc0b159

Aliases

arxiv: alg-geom/9707009 · arxiv_version: alg-geom/9707009v1 · doi: 10.48550/arxiv.alg-geom/9707009 · pith_short_12: USKNPA6QJX46 · pith_short_16: USKNPA6QJX464GLD · pith_short_8: USKNPA6Q

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/USKNPA6QJX464GLDCKIASHY7Z7 \
  | 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: a494d783d04df9ee19631290091f1fcfe0fb997f0dc62df31f147f943dc0b159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b39bfaa91797ab07be51564d123fbdf535601bd33738774b406a016ad400b8",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-07-09T17:55:00Z",
    "title_canon_sha256": "96b6a29efbb302b07466b304ec492ec49d6a83b029cc4900ef9fa5e4ae936691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9707009",
    "kind": "arxiv",
    "version": 1
  }
}