Pith Number

pith:6JWZTVEM

pith:2016:6JWZTVEMRBZQAOUO3DPDKAZ5HT

not attested not anchored not stored refs pending

Periodicity and ergodicity in the trihexagonal tiling

Diana Davis, W. Patrick Hooper

arxiv:1609.00772 v2 · 2016-09-03 · 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{6JWZTVEMRBZQAOUO3DPDKAZ5HT}

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	2026-05-18T00:10:13.943461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f26d99d48c8873003a8ed8de35033d3cd0f0342cc8b73073864f4d9aaacc37ca

Aliases

arxiv: 1609.00772 · arxiv_version: 1609.00772v2 · doi: 10.48550/arxiv.1609.00772 · pith_short_12: 6JWZTVEMRBZQ · pith_short_16: 6JWZTVEMRBZQAOUO · pith_short_8: 6JWZTVEM

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/6JWZTVEMRBZQAOUO3DPDKAZ5HT \
  | 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: f26d99d48c8873003a8ed8de35033d3cd0f0342cc8b73073864f4d9aaacc37ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a0044abee9d10a01a4f8399facd9c5507dec653cff18286c49aa12b4721cab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-09-03T00:16:40Z",
    "title_canon_sha256": "b13b634bb9b4b8d8833761f307f9fd8ca11a1c3b649a77b18e81caacad8eb818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00772",
    "kind": "arxiv",
    "version": 2
  }
}