Pith Number

pith:7REPU3XT

pith:2013:7REPU3XTVSIKTLCWI4DNBDMC4O

not attested not anchored not stored refs pending

Fusion: A general framework for hierarchical tilings

Natalie Priebe Frank

arxiv:1311.5555 v1 · 2013-11-21 · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7REPU3XTVSIKTLCWI4DNBDMC4O}

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	2026-05-18T03:06:33.101815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc48fa6ef3ac90a9ac564706d08d82e3826ee6670b9bb930ea95188e9773ed7a

Aliases

arxiv: 1311.5555 · arxiv_version: 1311.5555v1 · doi: 10.48550/arxiv.1311.5555 · pith_short_12: 7REPU3XTVSIK · pith_short_16: 7REPU3XTVSIKTLCW · pith_short_8: 7REPU3XT

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/7REPU3XTVSIKTLCWI4DNBDMC4O \
  | 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: fc48fa6ef3ac90a9ac564706d08d82e3826ee6670b9bb930ea95188e9773ed7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd71a97104e575248d29f4fe4bc29efbb60198ec756578e32d33340b57f68590",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-21T20:54:06Z",
    "title_canon_sha256": "da16782059c8ede09c69366182228e10a5ea29e12519b3d2487fbbf3291f0695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5555",
    "kind": "arxiv",
    "version": 1
  }
}