Pith Number

pith:GDOW3J7U

pith:2011:GDOW3J7UPQR526QX6D6ZDALHPJ

not attested not anchored not stored refs pending

On the Delone property of (-\beta)-integers

Wolfgang Steiner (LIAFA)

arxiv:1108.3640 v1 · 2011-08-18 · cs.FL · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDOW3J7UPQR526QX6D6ZDALHPJ}

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	2026-05-18T04:15:15.545447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30dd6da7f47c23dd7a17f0fd9181677a50a8493d7c1f106fb72bdee81d225b3c

Aliases

arxiv: 1108.3640 · arxiv_version: 1108.3640v1 · doi: 10.48550/arxiv.1108.3640 · pith_short_12: GDOW3J7UPQR5 · pith_short_16: GDOW3J7UPQR526QX · pith_short_8: GDOW3J7U

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/GDOW3J7UPQR526QX6D6ZDALHPJ \
  | 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: 30dd6da7f47c23dd7a17f0fd9181677a50a8493d7c1f106fb72bdee81d225b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73ce587674f0ce7709e6e5196d2f1ff0510901c7825afe072dbf16bf85b1c0f0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-08-18T03:55:27Z",
    "title_canon_sha256": "3de3cc20a29ec58538d279daab2f69cc778a7fb8ee8363f29b2ce0810f480469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3640",
    "kind": "arxiv",
    "version": 1
  }
}