Pith Number

pith:3BH2NPL3

pith:2012:3BH2NPL34UPTBQYPK4AI2FMRCQ

not attested not anchored not stored refs pending

On the Hall algebra of semigroup representations over F_1

Matt Szczesny

arxiv:1204.5395 v1 · 2012-04-24 · math.RT · math.CO · math.CT · 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{3BH2NPL34UPTBQYPK4AI2FMRCQ}

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	2026-05-18T03:57:13.345844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d84fa6bd7be51f30c30f57008d15911421248a2ee89311e5ad37c7689982c18d

Aliases

arxiv: 1204.5395 · arxiv_version: 1204.5395v1 · doi: 10.48550/arxiv.1204.5395 · pith_short_12: 3BH2NPL34UPT · pith_short_16: 3BH2NPL34UPTBQYP · pith_short_8: 3BH2NPL3

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/3BH2NPL34UPTBQYPK4AI2FMRCQ \
  | 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: d84fa6bd7be51f30c30f57008d15911421248a2ee89311e5ad37c7689982c18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f8438eb64f86c41131745fd0fc2bd005ae4dd01b8de0b65ed0e1287891588a",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-24T14:56:02Z",
    "title_canon_sha256": "d33b7669132e8612c33246c4a6bb529991b7b9f5a52537c6b64145e9a62e4fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5395",
    "kind": "arxiv",
    "version": 1
  }
}