Pith Number

pith:BP3HU72I

pith:2013:BP3HU72IO4DZPXSNQKYPXFJ7ZJ

not attested not anchored not stored refs pending

The periodic decomposition problem

B\'alint Farkas, Szil\'ard R\'ev\'esz

arxiv:1312.3798 v1 · 2013-12-13 · math.CA · 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{BP3HU72IO4DZPXSNQKYPXFJ7ZJ}

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	2026-05-18T03:04:47.572761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf67a7f48770797de4d82b0fb953fca6a52ced38685853b4e4d43873b28e0c5

Aliases

arxiv: 1312.3798 · arxiv_version: 1312.3798v1 · doi: 10.48550/arxiv.1312.3798 · pith_short_12: BP3HU72IO4DZ · pith_short_16: BP3HU72IO4DZPXSN · pith_short_8: BP3HU72I

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/BP3HU72IO4DZPXSNQKYPXFJ7ZJ \
  | 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: 0bf67a7f48770797de4d82b0fb953fca6a52ced38685853b4e4d43873b28e0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb62719d0a464f034795cb164c92a181382cbf88fccbb4b0e7f6fc8d1d3717ca",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-13T12:51:21Z",
    "title_canon_sha256": "9f6ac3b6fada5e38acbcf1bde8ccd78aed30f8b0451b98969043648d96794393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3798",
    "kind": "arxiv",
    "version": 1
  }
}