Pith Number

pith:NPARKTJG

pith:2018:NPARKTJGCPW7FSH2WTEWSDWMNO

not attested not anchored not stored refs pending

On the Origin of Crystallinity: a Lower Bound for the Regularity Radius of Delone Sets

Alexey Garber, Egon Schulte, Igor A. Baburin, Mikhail Bouniaev, Nikolay Dolbilin, Nikolay Yu. Erokhovets, Sergey V. Krivovichev

arxiv:1804.05035 v1 · 2018-04-13 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPARKTJGCPW7FSH2WTEWSDWMNO}

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	2026-05-17T23:58:48.102650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc1154d2613edf2c8fab4c9690ecc6b89aedb93e6bf8a9e6b0ddd14da5a6f77

Aliases

arxiv: 1804.05035 · arxiv_version: 1804.05035v1 · doi: 10.48550/arxiv.1804.05035 · pith_short_12: NPARKTJGCPW7 · pith_short_16: NPARKTJGCPW7FSH2 · pith_short_8: NPARKTJG

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/NPARKTJGCPW7FSH2WTEWSDWMNO \
  | 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: 6bc1154d2613edf2c8fab4c9690ecc6b89aedb93e6bf8a9e6b0ddd14da5a6f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0bf0b30dc68ea91b688617880928f5a19ade6f7b82855546c04852876d94d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-04-13T17:05:56Z",
    "title_canon_sha256": "0e236625a5a14c2715e6c098af8ce6c03f4f703997b7ec11c30144322bd2402b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05035",
    "kind": "arxiv",
    "version": 1
  }
}