Pith Number

pith:ZBKRNDFV

pith:2017:ZBKRNDFV3GBZQCBU6MUJPOLV23

not attested not anchored not stored refs pending

Frobenius Divisibility and Hopf Centers

Adam Jacoby

arxiv:1704.04256 v2 · 2017-04-13 · 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{ZBKRNDFV3GBZQCBU6MUJPOLV23}

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	2026-05-18T00:46:11.863961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c855168cb5d983980834f32897b975d6ea21d5c46175402adeb4e8fbf2d87eee

Aliases

arxiv: 1704.04256 · arxiv_version: 1704.04256v2 · doi: 10.48550/arxiv.1704.04256 · pith_short_12: ZBKRNDFV3GBZ · pith_short_16: ZBKRNDFV3GBZQCBU · pith_short_8: ZBKRNDFV

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/ZBKRNDFV3GBZQCBU6MUJPOLV23 \
  | 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: c855168cb5d983980834f32897b975d6ea21d5c46175402adeb4e8fbf2d87eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bbc05c3d27cacbc2a285491f7a2591c9e281e537a059e185f562a7de9fcf87d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-04-13T19:04:56Z",
    "title_canon_sha256": "b5a3b04e81401296b48718be8480c9138899fbcb930b0a0f22ec3161b147a5b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04256",
    "kind": "arxiv",
    "version": 2
  }
}