Pith Number

pith:NJ6XHH7N

pith:2025:NJ6XHH7N642HFNWVUVEDYPR67Z

not attested not anchored not stored refs pending

Cohomological nonvanishing for algebraic fundamental groups of ball quotients

Matthew Stover

arxiv:2508.20847 v1 · 2025-08-28 · math.AG · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJ6XHH7N642HFNWVUVEDYPR67Z}

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	2026-07-05T12:01:12.074464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a7d739fedf73472b6d5a5483c3e3efe5baeb7ce101e58352a6fae234879fba8

Aliases

arxiv: 2508.20847 · arxiv_version: 2508.20847v1 · doi: 10.48550/arxiv.2508.20847 · pith_short_12: NJ6XHH7N642H · pith_short_16: NJ6XHH7N642HFNWV · pith_short_8: NJ6XHH7N

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/NJ6XHH7N642HFNWVUVEDYPR67Z \
  | 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: 6a7d739fedf73472b6d5a5483c3e3efe5baeb7ce101e58352a6fae234879fba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d028b20d022b7f1154f3ab259da38b8f2726cf2e98cd02568174ae43e7f9244c",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-28T14:39:10Z",
    "title_canon_sha256": "52673782a48bb43eefe558e1835ff4f3e3f0e490c16b3baf32724477a949d0d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20847",
    "kind": "arxiv",
    "version": 1
  }
}