Pith Number

pith:6X4IO4ZO

pith:2015:6X4IO4ZOV7RMJ4HHN36BSVZOMY

not attested not anchored not stored refs pending

Translation-like Actions and Aperiodic Subshifts on Groups

Emmanuel Jeandel (CARTE)

arxiv:1508.06419 v1 · 2015-08-26 · cs.FL · 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{6X4IO4ZOV7RMJ4HHN36BSVZOMY}

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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.

Cited by

1 paper in Pith

Medvedev degrees of subshifts on groups

Receipt and verification

First computed	2026-05-18T01:34:43.066599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f887732eafe2c4f0e76efc19572e6601dd18c2ed72f355ba56c5b5a6b4188a

Aliases

arxiv: 1508.06419 · arxiv_version: 1508.06419v1 · doi: 10.48550/arxiv.1508.06419 · pith_short_12: 6X4IO4ZOV7RM · pith_short_16: 6X4IO4ZOV7RMJ4HH · pith_short_8: 6X4IO4ZO

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/6X4IO4ZOV7RMJ4HHN36BSVZOMY \
  | 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: f5f887732eafe2c4f0e76efc19572e6601dd18c2ed72f355ba56c5b5a6b4188a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b51509853c3501ab19826368bbc0da42d508bd99ccb30675d0734f0b004f951",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-08-26T09:25:16Z",
    "title_canon_sha256": "1cb61fb810abf9ac4ff3bc3bb6263eeb516268ba66f2dec4bf27f3dc119a288a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06419",
    "kind": "arxiv",
    "version": 1
  }
}