Pith Number

pith:OLWXEEGS

pith:2023:OLWXEEGS743KTIGNXM4VEYIOMB

not attested not anchored not stored refs pending

Soficity of free extensions of effective subshifts

Mathieu Sablik, Sebasti\'an Barbieri, Ville Salo

arxiv:2309.02620 v3 · 2023-09-05 · 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{OLWXEEGS743KTIGNXM4VEYIOMB}

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.

Cited by

1 paper in Pith

Natural extensions of embeddable semigroup actions

Receipt and verification

First computed	2026-07-05T10:18:06.646524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72ed7210d2ff36a9a0cdbb3952610e60455d69f9f908280cbb90213a9bd58334

Aliases

arxiv: 2309.02620 · arxiv_version: 2309.02620v3 · doi: 10.48550/arxiv.2309.02620 · pith_short_12: OLWXEEGS743K · pith_short_16: OLWXEEGS743KTIGN · pith_short_8: OLWXEEGS

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/OLWXEEGS743KTIGNXM4VEYIOMB \
  | 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: 72ed7210d2ff36a9a0cdbb3952610e60455d69f9f908280cbb90213a9bd58334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d4f5f7706ddc261951ea965ea178997808330ab9129cea456dbe440057e5e12",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-09-05T23:40:05Z",
    "title_canon_sha256": "f5e982a2107dc6b34028f454f67a29173e7b5b9ed833ec8e1e0844cde9edfc95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.02620",
    "kind": "arxiv",
    "version": 3
  }
}