Pith Number

pith:YU2BLTLL

pith:2025:YU2BLTLLZBZL42ZZVPLXODHUKQ

not attested not anchored not stored refs pending

Limit spaces of vertex and edge replacement systems

Davide Perego, Matteo Tarocchi

arxiv:2508.20739 v1 · 2025-08-28 · math.CO · 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{YU2BLTLLZBZL42ZZVPLXODHUKQ}

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	2026-07-05T12:01:09.915890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53415cd6bc872be6b39abd7770cf4540c0e51a0a9bd91676de2bc099703272d

Aliases

arxiv: 2508.20739 · arxiv_version: 2508.20739v1 · doi: 10.48550/arxiv.2508.20739 · pith_short_12: YU2BLTLLZBZL · pith_short_16: YU2BLTLLZBZL42ZZ · pith_short_8: YU2BLTLL

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/YU2BLTLLZBZL42ZZVPLXODHUKQ \
  | 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: c53415cd6bc872be6b39abd7770cf4540c0e51a0a9bd91676de2bc099703272d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fbad8a018794ba5ba1a89280b713347abd494743c4ba99bb4d6a46d3cb47f2e",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-28T13:03:04Z",
    "title_canon_sha256": "1dfb13758eb005c47b3f7ec4eb051a0573589d136fab387d78bfbd397c114377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20739",
    "kind": "arxiv",
    "version": 1
  }
}