Pith Number

pith:KUBOB2JM

pith:2014:KUBOB2JMXBH4XXN4KW7PCM62KG

not attested not anchored not stored refs pending

Colorful Associahedra and Cyclohedra

Deborah Oliveros, Egon Schulte, Gabriela Araujo-Pardo, Isabel Hubard

arxiv:1409.5175 v1 · 2014-09-18 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUBOB2JMXBH4XXN4KW7PCM62KG}

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	2026-05-18T02:42:30.712050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5502e0e92cb84fcbddbc55bef133da51815a4eca211d2ac5767e60b86d2461f7

Aliases

arxiv: 1409.5175 · arxiv_version: 1409.5175v1 · doi: 10.48550/arxiv.1409.5175 · pith_short_12: KUBOB2JMXBH4 · pith_short_16: KUBOB2JMXBH4XXN4 · pith_short_8: KUBOB2JM

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/KUBOB2JMXBH4XXN4KW7PCM62KG \
  | 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: 5502e0e92cb84fcbddbc55bef133da51815a4eca211d2ac5767e60b86d2461f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc6c7bc6275491c69a3a11d3ac42bab3bf98ffebf7b3cf45311b84ecb5c7fabc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-18T02:08:39Z",
    "title_canon_sha256": "94aacee4587f750a9b2fd3bc0a8ae1bc0a36e70ae3c43b653689e48a11ee6825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5175",
    "kind": "arxiv",
    "version": 1
  }
}