Pith Number

pith:UJ7WIVVQ

pith:2016:UJ7WIVVQ2H66ERZA45HXAHBOQ4

not attested not anchored not stored refs pending

Completely regular codes in the infinite hexagonal grid

Anastasia Yu. Vasil'eva (Sobolev Institute of Mathematics, Denis S. Krotov (Sobolev Institute of Mathematics, Novosibirsk, Russia), Sergey V. Avgustinovich (Sobolev Institute of Mathematics

arxiv:1612.01360 v1 · 2016-11-30 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJ7WIVVQ2H66ERZA45HXAHBOQ4}

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	2026-05-18T00:55:52.857886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27f6456b0d1fde24720e74f701c2e87132aff0f854e5f6ff561256e7af3c77a

Aliases

arxiv: 1612.01360 · arxiv_version: 1612.01360v1 · doi: 10.48550/arxiv.1612.01360 · pith_short_12: UJ7WIVVQ2H66 · pith_short_16: UJ7WIVVQ2H66ERZA · pith_short_8: UJ7WIVVQ

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/UJ7WIVVQ2H66ERZA45HXAHBOQ4 \
  | 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: a27f6456b0d1fde24720e74f701c2e87132aff0f854e5f6ff561256e7af3c77a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cde5e4bba0f6b8fdd9ac3271276eb5803c6b9016621abf91fff226d8b6adbac",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-11-30T21:00:02Z",
    "title_canon_sha256": "7ce53136f3b4a9d8d89308781f9ecad5418cc4c2fd0b65b6caa218c601fecf23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01360",
    "kind": "arxiv",
    "version": 1
  }
}