Pith Number

pith:KVUJWNOX

pith:2018:KVUJWNOX45MPTY7WSMMAHIWOAF

not attested not anchored not stored refs pending

Relatively divisible and relatively flat objects in exact categories: Applications

Derya Kesk\.in T\"ut\"unc\"u, Septimiu Crivei

arxiv:1810.11638 v1 · 2018-10-27 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVUJWNOX45MPTY7WSMMAHIWOAF}

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	2026-05-18T00:02:07.943352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55689b35d7e758f9e3f6931803a2ce01598216ba487e6c4160c1db10718aa935

Aliases

arxiv: 1810.11638 · arxiv_version: 1810.11638v1 · doi: 10.48550/arxiv.1810.11638 · pith_short_12: KVUJWNOX45MP · pith_short_16: KVUJWNOX45MPTY7W · pith_short_8: KVUJWNOX

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/KVUJWNOX45MPTY7WSMMAHIWOAF \
  | 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: 55689b35d7e758f9e3f6931803a2ce01598216ba487e6c4160c1db10718aa935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c558e3689b74b66523ee785300c0bd3582840195bbd601d9311560519df3b2",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-10-27T13:05:55Z",
    "title_canon_sha256": "5a7edadb441778e792a004aad020ac66054cc6d8f792d0f5bbf81b882c05a811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11638",
    "kind": "arxiv",
    "version": 1
  }
}