Pith Number

pith:HUZMM5IZ

pith:2013:HUZMM5IZG2AVCXMUHIHLZQZ2WE

not attested not anchored not stored refs pending

Dynamical versus diffraction spectrum for structures with finite local complexity

Aernout van Enter (Groningen), Daniel Lenz (Jena), Michael Baake (Bielefeld)

arxiv:1307.7518 v2 · 2013-07-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUZMM5IZG2AVCXMUHIHLZQZ2WE}

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	2026-05-18T01:32:35.152574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d32c675193681515d943a0ebcc33ab1265d228a9f7fca0b4e66812137dee8a0

Aliases

arxiv: 1307.7518 · arxiv_version: 1307.7518v2 · doi: 10.48550/arxiv.1307.7518 · pith_short_12: HUZMM5IZG2AV · pith_short_16: HUZMM5IZG2AVCXMU · pith_short_8: HUZMM5IZ

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/HUZMM5IZG2AVCXMUHIHLZQZ2WE \
  | 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: 3d32c675193681515d943a0ebcc33ab1265d228a9f7fca0b4e66812137dee8a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c99a9e39935ec5532d337983c8bc469903c9b5096f9d9d562a4a52a2d007581a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-29T09:47:55Z",
    "title_canon_sha256": "82ff99fd351497722fdf7f02247a4fe2bd063126ba2f159e025cae53d5558141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7518",
    "kind": "arxiv",
    "version": 2
  }
}