Pith Number

pith:27SMJ426

pith:2013:27SMJ426PIHTXC2HQ5STLSHSBP

not attested not anchored not stored refs pending

An $S$-adic characterization of minimal subshifts with first difference of complexity $1 \leq p(n+1) - p(n) \leq 2$

Julien Leroy

arxiv:1305.0434 v1 · 2013-05-02 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27SMJ426PIHTXC2HQ5STLSHSBP}

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	2026-05-18T03:26:40.319261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e4c4f35e7a0f3b8b47876535c8f20bd2af4394a1f0bfd44fa0d7fa0aa19586

Aliases

arxiv: 1305.0434 · arxiv_version: 1305.0434v1 · doi: 10.48550/arxiv.1305.0434 · pith_short_12: 27SMJ426PIHT · pith_short_16: 27SMJ426PIHTXC2H · pith_short_8: 27SMJ426

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/27SMJ426PIHTXC2HQ5STLSHSBP \
  | 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: d7e4c4f35e7a0f3b8b47876535c8f20bd2af4394a1f0bfd44fa0d7fa0aa19586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d463a7d0ba5735141b41e6e76d945fedcc1d64aa16c1cc4b1d9c72c5fc42a3f7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-05-02T13:53:28Z",
    "title_canon_sha256": "348a40226561c06188537198cffb97132f7fd2ee29f1f3fead43b945fe36111d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0434",
    "kind": "arxiv",
    "version": 1
  }
}