Pith Number

pith:FLXGMHW2

pith:2001:FLXGMHW2MB4LNEORPUULZTB7N5

not attested not anchored not stored refs pending

A duality between standard simplices and Stasheff polytopes

Jean-Louis Loday, Maria O. Ronco

arxiv:math/0102089 v1 · 2001-02-12 · math.QA · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLXGMHW2MB4LNEORPUULZTB7N5}

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	2026-05-18T01:38:30.032709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aee661eda6078b691d17d28bccc3f6f705ebfdf14f153d0dd1f96ad6f1f7579

Aliases

arxiv: math/0102089 · arxiv_version: math/0102089v1 · doi: 10.48550/arxiv.math/0102089 · pith_short_12: FLXGMHW2MB4L · pith_short_16: FLXGMHW2MB4LNEOR · pith_short_8: FLXGMHW2

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/FLXGMHW2MB4LNEORPUULZTB7N5 \
  | 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: 2aee661eda6078b691d17d28bccc3f6f705ebfdf14f153d0dd1f96ad6f1f7579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7410b98bee132a11e4affab3c5d5680f61b9a2c00b216ef2dcf85319fa124fee",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-02-12T09:24:58Z",
    "title_canon_sha256": "18d0fe6a8e2fdcdf05876015137bc4022f58d2a5f27eb28a5bc622c7575ba008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102089",
    "kind": "arxiv",
    "version": 1
  }
}