Pith Number

pith:TXRG3BLC

pith:2019:TXRG3BLCD2QJLFU32SY36G7JKZ

not attested not anchored not stored refs pending

Metrics which turn tilings into binary perfect codes

Gabriella Akemi Miyamoto, Marcelo Firer

arxiv:1903.05951 v2 · 2019-03-14 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXRG3BLCD2QJLFU32SY36G7JKZ}

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	2026-05-17T23:46:45.661129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de26d85621ea095969bd4b1bf1be9567e3b07b0dea2bbf506fef735cd76dfda

Aliases

arxiv: 1903.05951 · arxiv_version: 1903.05951v2 · doi: 10.48550/arxiv.1903.05951 · pith_short_12: TXRG3BLCD2QJ · pith_short_16: TXRG3BLCD2QJLFU3 · pith_short_8: TXRG3BLC

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/TXRG3BLCD2QJLFU32SY36G7JKZ \
  | 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: 9de26d85621ea095969bd4b1bf1be9567e3b07b0dea2bbf506fef735cd76dfda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61483d996ae1bc863a981e080b64f4b170ed6ee261d62351b95cb4be6470412e",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-03-14T12:50:48Z",
    "title_canon_sha256": "7a0044fffdc6537f53bd67dd2b3a41dc3a0f68ae37894d35412ab8237044c1e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05951",
    "kind": "arxiv",
    "version": 2
  }
}