Pith Number

pith:KSAJTVSJ

pith:2024:KSAJTVSJSADMG3DL743S56GVBM

not attested not anchored not stored refs pending

The Bieri-Neumann-Strebel sets of quasi-projective groups

Vasily Rogov

arxiv:2408.06250 v4 · 2024-08-12 · math.AG · 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{KSAJTVSJSADMG3DL743S56GVBM}

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

O-minimal geometry of higher Albanese manifolds

Receipt and verification

First computed	2026-07-05T11:22:31.719142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

548099d6499006c36c6bff372ef8d50b3aabdcf442ed1d3d302bd976874ea3c6

Aliases

arxiv: 2408.06250 · arxiv_version: 2408.06250v4 · doi: 10.48550/arxiv.2408.06250 · pith_short_12: KSAJTVSJSADM · pith_short_16: KSAJTVSJSADMG3DL · pith_short_8: KSAJTVSJ

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/KSAJTVSJSADMG3DL743S56GVBM \
  | 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: 548099d6499006c36c6bff372ef8d50b3aabdcf442ed1d3d302bd976874ea3c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e111dfd9ba9c337ef570e8d2ef6f92ed66a21e22b3ee09afd14eb78131c46e7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-08-12T16:02:02Z",
    "title_canon_sha256": "9ccc939d91e486ff527ae92edbe8194ba746887d27835ac5a865e2367dd4c8d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06250",
    "kind": "arxiv",
    "version": 4
  }
}