Pith Number

pith:THXTKH26

pith:2013:THXTKH2622YDDVZVAH6BUJF253

not attested not anchored not stored refs pending

Aperiodic tilings and entropy

Anael Grandjean, Bruno Durand, Guilhem Gamard

arxiv:1312.4126 v2 · 2013-12-15 · cs.LO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THXTKH2622YDDVZVAH6BUJF253}

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	2026-05-18T00:49:47.538918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99ef351f5ed6b031d73501fc1a24baeede532e08888d1eba94005dd7e86734df

Aliases

arxiv: 1312.4126 · arxiv_version: 1312.4126v2 · doi: 10.48550/arxiv.1312.4126 · pith_short_12: THXTKH2622YD · pith_short_16: THXTKH2622YDDVZV · pith_short_8: THXTKH26

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/THXTKH2622YDDVZVAH6BUJF253 \
  | 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: 99ef351f5ed6b031d73501fc1a24baeede532e08888d1eba94005dd7e86734df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d5526c332b119983f9af8734b9d23bc8f6cfd15b54477d0d2dad79bd3a235b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-12-15T09:09:51Z",
    "title_canon_sha256": "4878bcf4536332c5367acdd6d135b74bebcf922cb27011bd3a8a8e28400d5db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4126",
    "kind": "arxiv",
    "version": 2
  }
}