Pith Number

pith:WMXTWTGR

pith:2023:WMXTWTGRVRYJDK2Q3UZ5NF22O6

not attested not anchored not stored refs pending

Effective lower bounds for spectra of random covers and random unitary bundles

Will Hide

arxiv:2305.04584 v2 · 2023-05-08 · math.SP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMXTWTGRVRYJDK2Q3UZ5NF22O6}

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	2026-07-05T08:16:41.071612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32f3b4cd1ac7091ab50dd33d6975a77b6e807faa43fa9e9c8cf778ce2d1d58f

Aliases

arxiv: 2305.04584 · arxiv_version: 2305.04584v2 · doi: 10.48550/arxiv.2305.04584 · pith_short_12: WMXTWTGRVRYJ · pith_short_16: WMXTWTGRVRYJDK2Q · pith_short_8: WMXTWTGR

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/WMXTWTGRVRYJDK2Q3UZ5NF22O6 \
  | 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: b32f3b4cd1ac7091ab50dd33d6975a77b6e807faa43fa9e9c8cf778ce2d1d58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c138000dc96088df31815460e32a3c7d3e672eefe5aad2da6de64ae457ad77fb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2023-05-08T09:49:40Z",
    "title_canon_sha256": "9ac4b8a9c538f2102f4787bc25a734146e3e51f353570e707ebd1371385f5d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.04584",
    "kind": "arxiv",
    "version": 2
  }
}