Pith Number

pith:B2ZOLIIC

pith:2011:B2ZOLIICBBA55J7IKPCFKR73I5

not attested not anchored not stored refs pending

On the density of periodic configurations in strongly irreducible subshifts

Michel Coornaert, Tullio Ceccherini-Silberstein

arxiv:1110.4921 v3 · 2011-10-21 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2ZOLIICBBA55J7IKPCFKR73I5}

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	2026-05-18T02:00:06.983793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb2e5a1020841dea7e853c45547fb4773ac5564f6282839c6510a3984c84a75

Aliases

arxiv: 1110.4921 · arxiv_version: 1110.4921v3 · doi: 10.48550/arxiv.1110.4921 · pith_short_12: B2ZOLIICBBA5 · pith_short_16: B2ZOLIICBBA55J7I · pith_short_8: B2ZOLIIC

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/B2ZOLIICBBA55J7IKPCFKR73I5 \
  | 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: 0eb2e5a1020841dea7e853c45547fb4773ac5564f6282839c6510a3984c84a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1fc086e284e44d074620c7824d851937009e208937fecab61db10810ed78b3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-21T22:42:25Z",
    "title_canon_sha256": "b5d3924db2283ec6a7c731ff8c9b5fe621a4dd595178ce86c8749f3b4b60fdca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4921",
    "kind": "arxiv",
    "version": 3
  }
}