Pith Number

pith:ASXGCBOD

pith:2017:ASXGCBODCDAZU46EFVIBLHCRA2

not attested not anchored not stored refs pending

Integral Gassman equivalence of algebraic and hyperbolic manifolds

D. Arapura, D. B. McReynolds, J. Katz, P. Solapurkar

arxiv:1705.01647 v2 · 2017-05-03 · math.GT · math.AG · math.DG · 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{ASXGCBODCDAZU46EFVIBLHCRA2}

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	2026-05-18T00:19:47.557725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ae6105c310c19a73c42d50159c51069bedec7fbcd711e847cb3c6f32bf305d

Aliases

arxiv: 1705.01647 · arxiv_version: 1705.01647v2 · doi: 10.48550/arxiv.1705.01647 · pith_short_12: ASXGCBODCDAZ · pith_short_16: ASXGCBODCDAZU46E · pith_short_8: ASXGCBOD

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/ASXGCBODCDAZU46EFVIBLHCRA2 \
  | 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: 04ae6105c310c19a73c42d50159c51069bedec7fbcd711e847cb3c6f32bf305d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f07661d5d447f084d37e7200b274bbbf0fc34a8896825086f44c408b3b70ce5",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-03T22:52:18Z",
    "title_canon_sha256": "321eec9718964905d99d88ad7f78c3ca56f99714d808a17458bb320c4a2a3a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01647",
    "kind": "arxiv",
    "version": 2
  }
}