Pith Number

pith:VXBKRU3Z

pith:2026:VXBKRU3Z4TDPPLKP233HDFRDLA

not attested not anchored not stored refs pending

Local Weyl law and length-minimising loops on hyperbolic surfaces

Daniel Meriaz

arxiv:2607.24060 v1 · 2026-07-27 · math-ph · math.GT · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXBKRU3Z4TDPPLKP233HDFRDLA}

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	2026-07-28T01:23:43.391665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc2a8d379e4c6f7ad4fd6f67196235835456910fd0c014e09689a0fc401edc1

Aliases

arxiv: 2607.24060 · arxiv_version: 2607.24060v1 · doi: 10.48550/arxiv.2607.24060 · pith_short_12: VXBKRU3Z4TDP · pith_short_16: VXBKRU3Z4TDPPLKP · pith_short_8: VXBKRU3Z

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/VXBKRU3Z4TDPPLKP233HDFRDLA \
  | 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: adc2a8d379e4c6f7ad4fd6f67196235835456910fd0c014e09689a0fc401edc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35e9aa7379639059d6ead4075b26264870bfa02933bd24cfd733ece4b18d4458",
    "cross_cats_sorted": [
      "math.GT",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-27T07:01:38Z",
    "title_canon_sha256": "38c05c121124b2fc699e88ae8d964f34b882bf43686df202c5a5660590931aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24060",
    "kind": "arxiv",
    "version": 1
  }
}