Pith Number

pith:NB35KHGA

pith:2012:NB35KHGAQKCAXDZLKMNODS55H3

not attested not anchored not stored refs pending

Cohomology computations of solvmanifolds with local coefficients

Hisashi Kasuya

arxiv:1208.4045 v2 · 2012-08-20 · math.GT · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NB35KHGAQKCAXDZLKMNODS55H3}

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	2026-05-18T03:07:41.317658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6877d51cc082840b8f2b531ae1cbbd3ef46241cadac5a166bff69aba137712a2

Aliases

arxiv: 1208.4045 · arxiv_version: 1208.4045v2 · doi: 10.48550/arxiv.1208.4045 · pith_short_12: NB35KHGAQKCA · pith_short_16: NB35KHGAQKCAXDZL · pith_short_8: NB35KHGA

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/NB35KHGAQKCAXDZLKMNODS55H3 \
  | 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: 6877d51cc082840b8f2b531ae1cbbd3ef46241cadac5a166bff69aba137712a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b15e3a932dab9fb698ed6c8c7880a631626d354c44de263f25f4ce0cf27d87d",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-20T15:58:30Z",
    "title_canon_sha256": "34ba3541314126da0c39f1a8670cf1bbbb0b516314468345b081a92d0f3bf00e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4045",
    "kind": "arxiv",
    "version": 2
  }
}