Pith Number

pith:XX52OCPE

pith:2013:XX52OCPEYIPPA3BFDVA5MXQHYZ

not attested not anchored not stored refs pending

Division problem for spatially periodic distributions

Amol Sasane, Peter Wagner

arxiv:1305.6134 v2 · 2013-05-27 · math.AP · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XX52OCPEYIPPA3BFDVA5MXQHYZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:16:28.332024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdfba709e4c21ef06c251d41d65e07c66512bb108c5d732daa831be08ad651a7

Aliases

arxiv: 1305.6134 · arxiv_version: 1305.6134v2 · doi: 10.48550/arxiv.1305.6134 · pith_short_12: XX52OCPEYIPP · pith_short_16: XX52OCPEYIPPA3BF · pith_short_8: XX52OCPE

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/XX52OCPEYIPPA3BFDVA5MXQHYZ \
  | 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: bdfba709e4c21ef06c251d41d65e07c66512bb108c5d732daa831be08ad651a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba2506cb69198a844ed93975e482e209d6926bd264fbfc370490a282274d352",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-27T07:40:37Z",
    "title_canon_sha256": "c8e985bf23cebdda2b34c4f3c6a22ead9a016d7a2148660135d1d1c52158f69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6134",
    "kind": "arxiv",
    "version": 2
  }
}