Pith Number

pith:5NV6D5KS

pith:2013:5NV6D5KSSSZ4VEKMJ5DHEYP3VS

not attested not anchored not stored refs pending

Block Maps between Primitive Uniform and Pisot Substitutions

Ilkka T\"orm\"a, Ville Salo

arxiv:1306.3777 v4 · 2013-06-17 · math.DS · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NV6D5KSSSZ4VEKMJ5DHEYP3VS}

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	2026-05-18T02:45:22.337568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6be1f55294b3ca914c4f467261fbac8b0483c55e6a0105a70dc3204c6bf64b

Aliases

arxiv: 1306.3777 · arxiv_version: 1306.3777v4 · doi: 10.48550/arxiv.1306.3777 · pith_short_12: 5NV6D5KSSSZ4 · pith_short_16: 5NV6D5KSSSZ4VEKM · pith_short_8: 5NV6D5KS

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/5NV6D5KSSSZ4VEKMJ5DHEYP3VS \
  | 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: eb6be1f55294b3ca914c4f467261fbac8b0483c55e6a0105a70dc3204c6bf64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a21cdaa2104743adeeba247d6a63745bea78cf5eb6696a5ea57c1ad41220ebb",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-17T09:00:38Z",
    "title_canon_sha256": "7018040c719a877ae93fe5064a55e364894179f155541494404ff6b2dc68a1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3777",
    "kind": "arxiv",
    "version": 4
  }
}