Pith Number

pith:7UEBLWP2

pith:2024:7UEBLWP2SHSQFZMA5P4CZ3YONY

not attested not anchored not stored refs pending

Density of group languages in shift spaces

Carl-Fredrik Nyberg-Brodda, Dominique Perrin, Herman Goulet-Ouellet, Karl Petersen, Val\'erie Berth\'e

arxiv:2403.17892 v3 · 2024-03-26 · math.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UEBLWP2SHSQFZMA5P4CZ3YONY}

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	2026-06-12T01:08:08.381715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0815d9fa91e502e580ebf82cef0e6e2550f0b249ff35a802bd10e7cc650d7d

Aliases

arxiv: 2403.17892 · arxiv_version: 2403.17892v3 · doi: 10.48550/arxiv.2403.17892 · pith_short_12: 7UEBLWP2SHSQ · pith_short_16: 7UEBLWP2SHSQFZMA · pith_short_8: 7UEBLWP2

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/7UEBLWP2SHSQFZMA5P4CZ3YONY \
  | 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: fd0815d9fa91e502e580ebf82cef0e6e2550f0b249ff35a802bd10e7cc650d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "118b6410eac7e7dc30ae274f5e3bf2de9861a5d7d0e98b98fc90fa06146a169a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-03-26T17:27:20Z",
    "title_canon_sha256": "d2b5429cb9ef5090c479b91515548a19db3bd2f656a9ade85e30f20ae1cbfdda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.17892",
    "kind": "arxiv",
    "version": 3
  }
}