Pith Number

pith:UBPOXLC4

pith:2011:UBPOXLC4NXM2VCDU6YJDB4U32Y

not attested not anchored not stored refs pending

Stasheff polytope as a sublattice of permutohedron

Kira Adaricheva

arxiv:1101.1536 v3 · 2011-01-07 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBPOXLC4NXM2VCDU6YJDB4U32Y}

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	2026-05-18T04:25:27.831162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a05eebac5c6dd9aa8874f61230f29bd626f27eb7b460da185227469ced0b72a5

Aliases

arxiv: 1101.1536 · arxiv_version: 1101.1536v3 · doi: 10.48550/arxiv.1101.1536 · pith_short_12: UBPOXLC4NXM2 · pith_short_16: UBPOXLC4NXM2VCDU · pith_short_8: UBPOXLC4

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/UBPOXLC4NXM2VCDU6YJDB4U32Y \
  | 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: a05eebac5c6dd9aa8874f61230f29bd626f27eb7b460da185227469ced0b72a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a2a500c63cdff371ce56ec166a7ed8202e72453a5706545afa5c0f19f99c32",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-07T21:37:13Z",
    "title_canon_sha256": "5fdeda3826313af33401ff2bbd049c587a653b993603d4d65b84df44cf3f29dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1536",
    "kind": "arxiv",
    "version": 3
  }
}