Pith Number

pith:GT62QL6S

pith:2012:GT62QL6SP4TJ2OJ564TBMLCTUB

not attested not anchored not stored refs pending

Bott-Chern cohomology of solvmanifolds

Daniele Angella, Hisashi Kasuya

arxiv:1212.5708 v5 · 2012-12-22 · math.DG · math.CV · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT62QL6SP4TJ2OJ564TBMLCTUB}

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	2026-05-18T00:29:34.046553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fda82fd27f269d393df726162c53a0652819c08c7941fddfbff19155b66a39

Aliases

arxiv: 1212.5708 · arxiv_version: 1212.5708v5 · doi: 10.48550/arxiv.1212.5708 · pith_short_12: GT62QL6SP4TJ · pith_short_16: GT62QL6SP4TJ2OJ5 · pith_short_8: GT62QL6S

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/GT62QL6SP4TJ2OJ564TBMLCTUB \
  | 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: 34fda82fd27f269d393df726162c53a0652819c08c7941fddfbff19155b66a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba5d3f109fd62c0d595386fe70c6c7c9317e5550ca7bebc99b4ed61cfdfd787",
    "cross_cats_sorted": [
      "math.CV",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-22T17:10:26Z",
    "title_canon_sha256": "283aadc33a8a5a19de398ceac38e48c4bd9dece7d74bddfe6659fc54a669adb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5708",
    "kind": "arxiv",
    "version": 5
  }
}