Pith Number

pith:V7RBP6LJ

pith:2025:V7RBP6LJUR23MBFROPUGAUY7IW

not attested not anchored not stored refs pending

Radius-zero Extended Symmetries and Irregular Fibres of $\mathbb{Z}^d$-Substitution Subshifts

\'Alvaro Bustos-Gajardo, Daniel Luz, Neil Ma\~nibo

arxiv:2506.13392 v1 · 2025-06-16 · 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{V7RBP6LJUR23MBFROPUGAUY7IW}

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	2026-07-05T11:22:09.617354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe217f969a475b604b173e860531f459e267255d405a5848bba0d2e24286442

Aliases

arxiv: 2506.13392 · arxiv_version: 2506.13392v1 · doi: 10.48550/arxiv.2506.13392 · pith_short_12: V7RBP6LJUR23 · pith_short_16: V7RBP6LJUR23MBFR · pith_short_8: V7RBP6LJ

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/V7RBP6LJUR23MBFROPUGAUY7IW \
  | 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: afe217f969a475b604b173e860531f459e267255d405a5848bba0d2e24286442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d24594278fa104707b4a5131f018d5830a77585eab560bac3168a4e2d9227a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-16T11:59:13Z",
    "title_canon_sha256": "87ace217912cbcd136628eb79d9f3784a9b01fc8645547d06d8449bb44efda30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13392",
    "kind": "arxiv",
    "version": 1
  }
}