Pith Number

pith:BZ6GVDRU

pith:2013:BZ6GVDRUNQCVJB5ZIGM5GIJHWZ

not attested not anchored not stored refs pending

Rich families and elementary submodels

Marek Cuth, Ondrej F.K. Kalenda

arxiv:1308.1818 v2 · 2013-08-08 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZ6GVDRUNQCVJB5ZIGM5GIJHWZ}

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	2026-05-18T02:54:22.412969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7c6a8e346c055487b94199d32127b6445618643d6ade9364c332474848bb65

Aliases

arxiv: 1308.1818 · arxiv_version: 1308.1818v2 · doi: 10.48550/arxiv.1308.1818 · pith_short_12: BZ6GVDRUNQCV · pith_short_16: BZ6GVDRUNQCVJB5Z · pith_short_8: BZ6GVDRU

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/BZ6GVDRUNQCVJB5ZIGM5GIJHWZ \
  | 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: 0e7c6a8e346c055487b94199d32127b6445618643d6ade9364c332474848bb65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "876ce08c515e1fa936b8a081da027945fde0153206f8b1ed9767a9d72e5ea0e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-08T11:31:46Z",
    "title_canon_sha256": "3b6e91f02214a44af8e848a885908846a78bfb939d4b8527cbf96d563ffd162c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1818",
    "kind": "arxiv",
    "version": 2
  }
}