Pith Number

pith:TNYMAOYK

pith:2025:TNYMAOYK7MHXRDB7TIATOZJ2RA

not attested not anchored not stored refs pending

Maximal rigidity of random measure and uniqueness pairs: stealthy processes, quasicrystals and periodicity

MAP5 - UMR 8145), Rapha\"el Lachi\`eze-Rey (MATHNET

arxiv:2512.10686 v2 · 2025-12-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNYMAOYK7MHXRDB7TIATOZJ2RA}

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	2026-06-19T16:12:49.810974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b70c03b0afb0f788c3f9a0137653a8827b5c8021147263d4752d67c15ed37cb

Aliases

arxiv: 2512.10686 · arxiv_version: 2512.10686v2 · doi: 10.48550/arxiv.2512.10686 · pith_short_12: TNYMAOYK7MHX · pith_short_16: TNYMAOYK7MHXRDB7 · pith_short_8: TNYMAOYK

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/TNYMAOYK7MHXRDB7TIATOZJ2RA \
  | 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: 9b70c03b0afb0f788c3f9a0137653a8827b5c8021147263d4752d67c15ed37cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79bb1fa18a28c3c8c66a919cd8e4b7987c2773df52f396cf2cc6619b9b8e3781",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-12-11T14:34:28Z",
    "title_canon_sha256": "0fec32d6f8e2704c6e6d504df73e05b29a2459c09e6820575d87f46924e259da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10686",
    "kind": "arxiv",
    "version": 2
  }
}