Pith Number

pith:4PDABLZB

pith:2013:4PDABLZBX4XZFVIBRYMBRTIKNS

not attested not anchored not stored refs pending

Recent progress in mathematical diffraction

Michael Baake (Bielefeld), Uwe Grimm (Milton Keynes)

arxiv:1311.4373 v1 · 2013-11-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PDABLZBX4XZFVIBRYMBRTIKNS}

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	2026-05-18T02:43:26.191646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c600af21bf2f92d5018e1818cd0a6c895846b3fc40a30a11dd9be9d8bbd8ee

Aliases

arxiv: 1311.4373 · arxiv_version: 1311.4373v1 · doi: 10.48550/arxiv.1311.4373 · pith_short_12: 4PDABLZBX4XZ · pith_short_16: 4PDABLZBX4XZFVIB · pith_short_8: 4PDABLZB

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/4PDABLZBX4XZFVIBRYMBRTIKNS \
  | 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: e3c600af21bf2f92d5018e1818cd0a6c895846b3fc40a30a11dd9be9d8bbd8ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e8abb630645647b425d5d2e8140c764e1e27246f91e0de3e69b630a5ecc867",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-18T13:37:02Z",
    "title_canon_sha256": "04a204b2b6f7a0f7ce02110b5fe5d73279178de9f6f92f1d37a4ad6f27e1010d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4373",
    "kind": "arxiv",
    "version": 1
  }
}