Pith Number

pith:45KQ6O3I

pith:2012:45KQ6O3IU5ZTM3O3DUTWMRL7K5

not attested not anchored not stored refs pending

Subdivisions, shellability, and collapsibility of products

Bruno Benedetti, Karim Alexander Adiprasito

arxiv:1202.6606 v3 · 2012-02-29 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45KQ6O3IU5ZTM3O3DUTWMRL7K5}

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	2026-05-18T02:21:17.450366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7550f3b68a773366ddb1d2766457f575e87e73f0c3c756de9a299360b128e46

Aliases

arxiv: 1202.6606 · arxiv_version: 1202.6606v3 · doi: 10.48550/arxiv.1202.6606 · pith_short_12: 45KQ6O3IU5ZT · pith_short_16: 45KQ6O3IU5ZTM3O3 · pith_short_8: 45KQ6O3I

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/45KQ6O3IU5ZTM3O3DUTWMRL7K5 \
  | 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: e7550f3b68a773366ddb1d2766457f575e87e73f0c3c756de9a299360b128e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb131de2ff123bd1cae484ac53cc29c30d8a201ab2492cadceecb0b8186ac8fe",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-29T17:08:18Z",
    "title_canon_sha256": "1626bcbc9d455b12e3d8d167482fb14db75ad3c19cee4b34f2f6789ae99663b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6606",
    "kind": "arxiv",
    "version": 3
  }
}