Pith Number

pith:72BVUFQO

pith:2014:72BVUFQOARKSGUD6GL45FPGNHM

not attested not anchored not stored refs pending

Growth degree classification for finitely generated semigroups of integer matrices

Jason P. Bell, Kevin G. Hare, Michael Coons

arxiv:1410.5519 v1 · 2014-10-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72BVUFQOARKSGUD6GL45FPGNHM}

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	2026-05-18T02:39:39.655489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe835a160e045523507e32f9d2bccd3b1dc1a0b6b0d80bf0b992d5869de8b089

Aliases

arxiv: 1410.5519 · arxiv_version: 1410.5519v1 · doi: 10.48550/arxiv.1410.5519 · pith_short_12: 72BVUFQOARKS · pith_short_16: 72BVUFQOARKSGUD6 · pith_short_8: 72BVUFQO

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/72BVUFQOARKSGUD6GL45FPGNHM \
  | 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: fe835a160e045523507e32f9d2bccd3b1dc1a0b6b0d80bf0b992d5869de8b089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad251ab537d9b02b3da4a1e498b380835aaf0862536852b0962ab2bfaeea7f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-21T02:05:59Z",
    "title_canon_sha256": "698811d4b792b65b167712f2fffd9992365575038b4ce3a8e7089042d9809378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5519",
    "kind": "arxiv",
    "version": 1
  }
}