Pith Number

pith:FQCLGVBH

pith:2016:FQCLGVBH5MZPE2PTGK2IM4PJ4H

not attested not anchored not stored refs pending

Geometrical models for a class of reducible Pisot substitutions

Benoit Loridant, Milton Minervino

arxiv:1612.08373 v3 · 2016-12-26 · 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{FQCLGVBH5MZPE2PTGK2IM4PJ4H}

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	2026-05-18T00:26:08.410907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c04b35427eb32f269f332b48671e9e1e93497cc19597c7b50e8108d3f22adee

Aliases

arxiv: 1612.08373 · arxiv_version: 1612.08373v3 · doi: 10.48550/arxiv.1612.08373 · pith_short_12: FQCLGVBH5MZP · pith_short_16: FQCLGVBH5MZPE2PT · pith_short_8: FQCLGVBH

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/FQCLGVBH5MZPE2PTGK2IM4PJ4H \
  | 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: 2c04b35427eb32f269f332b48671e9e1e93497cc19597c7b50e8108d3f22adee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a72fb07b55c4cd25bea39aec33f6f719d81e9d0564eb65fe6a1d97a9b75bff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-26T12:59:32Z",
    "title_canon_sha256": "073e664f4cf8dad70551fdd42197e2157d405fdf7ce53fe6b9af6cbacf78822b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08373",
    "kind": "arxiv",
    "version": 3
  }
}