Pith Number

pith:CWCRJBHM

pith:2025:CWCRJBHMMG6JUWR74DUYNC3TPC

not attested not anchored not stored refs pending

On the spectral stability of finite coverings

Panagiotis Polymerakis, Sugata Mondal, Werner Ballmann

arxiv:2507.17466 v3 · 2025-07-23 · math.DG · 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{CWCRJBHMMG6JUWR74DUYNC3TPC}

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.

Cited by

1 paper in Pith

Bass notes of random hyperbolic surfaces of large genus

Receipt and verification

First computed	2026-07-05T11:49:57.560784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15851484ec61bc9a5a3fe0e9868b73788cecd7aac05ce4ce45ff28efeefa116d

Aliases

arxiv: 2507.17466 · arxiv_version: 2507.17466v3 · doi: 10.48550/arxiv.2507.17466 · pith_short_12: CWCRJBHMMG6J · pith_short_16: CWCRJBHMMG6JUWR7 · pith_short_8: CWCRJBHM

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/CWCRJBHMMG6JUWR74DUYNC3TPC \
  | 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: 15851484ec61bc9a5a3fe0e9868b73788cecd7aac05ce4ce45ff28efeefa116d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85a802310e2fe9bc264ae9d0af4348a84f6de5585ced09b2b51c253531c0287c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-23T12:46:47Z",
    "title_canon_sha256": "f3c2dfcb1b629ca6fe1e908a13ca75e8130d2d9a3f31149fd6508ba921e2c6f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17466",
    "kind": "arxiv",
    "version": 3
  }
}