Pith Number

pith:SOOGMW56

pith:2025:SOOGMW56VGBLOCSNMEHLN3Q6XV

not attested not anchored not stored refs pending

Comparing the face rings of a boolean complex and its barycentric subdivision

Ben Blum-Smith, Sophie Marques

arxiv:2507.20037 v1 · 2025-07-26 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOOGMW56VGBLOCSNMEHLN3Q6XV}

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	2026-07-05T11:43:47.056737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939c665bbea982b70a4d610eb6ee1ebd44c1e29f7cc93998b1cdff2d76d786df

Aliases

arxiv: 2507.20037 · arxiv_version: 2507.20037v1 · doi: 10.48550/arxiv.2507.20037 · pith_short_12: SOOGMW56VGBL · pith_short_16: SOOGMW56VGBLOCSN · pith_short_8: SOOGMW56

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/SOOGMW56VGBLOCSNMEHLN3Q6XV \
  | 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: 939c665bbea982b70a4d610eb6ee1ebd44c1e29f7cc93998b1cdff2d76d786df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd985b863893b380fef6d6a21dce4663937ba67b27be2f8802217719dbbee15b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-07-26T18:41:31Z",
    "title_canon_sha256": "498bedf8e42603b2bd1a48c7dfda72c13f0cc6943329e17d2e3fff623e29f626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20037",
    "kind": "arxiv",
    "version": 1
  }
}