Pith Number

pith:CGGTCR5M

pith:2015:CGGTCR5MRYG4HGBA7U6B2HLTUJ

not attested not anchored not stored refs pending

Aperiodic Subshifts of Finite Type on Groups

Emmanuel Jeandel (CARTE)

arxiv:1501.06831 v2 · 2015-01-27 · math.GR · cs.DM · 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{CGGTCR5MRYG4HGBA7U6B2HLTUJ}

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	2026-05-18T01:37:19.183116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118d3147ac8e0dc39820fd3c1d1d73a2524be566861af3d82ad9144a776c6b0a

Aliases

arxiv: 1501.06831 · arxiv_version: 1501.06831v2 · doi: 10.48550/arxiv.1501.06831 · pith_short_12: CGGTCR5MRYG4 · pith_short_16: CGGTCR5MRYG4HGBA · pith_short_8: CGGTCR5M

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/CGGTCR5MRYG4HGBA7U6B2HLTUJ \
  | 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: 118d3147ac8e0dc39820fd3c1d1d73a2524be566861af3d82ad9144a776c6b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519f568cabc1c19459eb331a3fb1e19442320889a686ea697c8907548a2e3c46",
    "cross_cats_sorted": [
      "cs.DM",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-27T17:32:26Z",
    "title_canon_sha256": "4aa77f30cc5e16054c4146c971bbe2cdf335c4b33905248074026a5b59772022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06831",
    "kind": "arxiv",
    "version": 2
  }
}