Pith Number

pith:6T7YJM2V

pith:2010:6T7YJM2VZY2KVDODFQPMENOFSV

not attested not anchored not stored refs pending

Frames by Multiplication

Carlos Cabrelli, Peter Balazs, Sigrid Heineken, Ursula Molter

arxiv:1004.1429 v3 · 2010-04-08 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6T7YJM2VZY2KVDODFQPMENOFSV}

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	2026-05-18T03:54:39.651650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ff84b355ce34aa8dc32c1ec235c595667a93332d2dad4a4866990dc67db1f7

Aliases

arxiv: 1004.1429 · arxiv_version: 1004.1429v3 · doi: 10.48550/arxiv.1004.1429 · pith_short_12: 6T7YJM2VZY2K · pith_short_16: 6T7YJM2VZY2KVDOD · pith_short_8: 6T7YJM2V

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/6T7YJM2VZY2KVDODFQPMENOFSV \
  | 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: f4ff84b355ce34aa8dc32c1ec235c595667a93332d2dad4a4866990dc67db1f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36a1ea88f24e7e2c09670920f06996db43b7058ee94cca88ae8e03219c3d63ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-04-08T21:35:25Z",
    "title_canon_sha256": "1998876bedffaa647c8b130dfd1cd50e5c059cc730d59e405c180a21e639a7a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1429",
    "kind": "arxiv",
    "version": 3
  }
}