Pith Number

pith:DNBKSIQE

pith:2015:DNBKSIQE46VKD3QEJZPEYX763L

not attested not anchored not stored refs pending

A slight generalization of Keller's theorem

Vered Moskowicz

arxiv:1509.06362 v2 · 2015-09-21 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNBKSIQE46VKD3QEJZPEYX763L}

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	2026-05-18T01:31:29.544531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b42a92204e7aaa1ee044e5e4c5ffedad1dcdc4e395a88b6ab02fef0ef267bcf

Aliases

arxiv: 1509.06362 · arxiv_version: 1509.06362v2 · doi: 10.48550/arxiv.1509.06362 · pith_short_12: DNBKSIQE46VK · pith_short_16: DNBKSIQE46VKD3QE · pith_short_8: DNBKSIQE

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/DNBKSIQE46VKD3QEJZPEYX763L \
  | 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: 1b42a92204e7aaa1ee044e5e4c5ffedad1dcdc4e395a88b6ab02fef0ef267bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a3f8e85df0a369cd2da1a59d2cad1217634d23620470bae2ccaddffbb44e64a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-09-21T19:59:12Z",
    "title_canon_sha256": "4f4ccd05618f877f6d5b96ba6b0f487284a6c99e8bb3f682d2ae2c130822bbbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06362",
    "kind": "arxiv",
    "version": 2
  }
}