Pith Number

pith:72NSWBGF

pith:2012:72NSWBGFIXTKBHWWSY2YCLJYYC

not attested not anchored not stored refs pending

Combinatorial Topology and the Global Dimension of Algebras Arising in Combinatorics

Benjamin Steinberg, Franco Saliola, Stuart Margolis

arxiv:1205.1159 v2 · 2012-05-05 · math.RT · math.CO · math.GR · 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{72NSWBGFIXTKBHWWSY2YCLJYYC}

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	2026-05-18T03:45:22.866033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9b2b04c545e6a09ed69635812d38c0bfd709781495206e7cad5e0217383df8

Aliases

arxiv: 1205.1159 · arxiv_version: 1205.1159v2 · doi: 10.48550/arxiv.1205.1159 · pith_short_12: 72NSWBGFIXTK · pith_short_16: 72NSWBGFIXTKBHWW · pith_short_8: 72NSWBGF

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/72NSWBGFIXTKBHWWSY2YCLJYYC \
  | 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: fe9b2b04c545e6a09ed69635812d38c0bfd709781495206e7cad5e0217383df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e6dc861c54e06180e5125cdb973bc8b26a52a0ae4fdbe24b764e19df4871f8",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-05T20:43:02Z",
    "title_canon_sha256": "fbe9f088a29266e94f0899c2feac772484f14fca6718fa35a7aeb5d290c7e812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1159",
    "kind": "arxiv",
    "version": 2
  }
}