Pith Number

pith:NNIFPYO5

pith:2012:NNIFPYO54G7SXLB7BAVMRVDBD2

not attested not anchored not stored refs pending

Lattices, cohomology and models of six dimensional almost abelian solvmanifolds

Maura Macr\`i, Sergio Console

arxiv:1206.5977 v1 · 2012-06-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNIFPYO54G7SXLB7BAVMRVDBD2}

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	2026-05-18T03:52:37.446634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5057e1dde1bf2bac3f082ac8d4611ea912ecf0dcafcaf730d457c3abe9f479

Aliases

arxiv: 1206.5977 · arxiv_version: 1206.5977v1 · doi: 10.48550/arxiv.1206.5977 · pith_short_12: NNIFPYO54G7S · pith_short_16: NNIFPYO54G7SXLB7 · pith_short_8: NNIFPYO5

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/NNIFPYO54G7SXLB7BAVMRVDBD2 \
  | 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: 6b5057e1dde1bf2bac3f082ac8d4611ea912ecf0dcafcaf730d457c3abe9f479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d061685d590a593f3bf9a876a210d71b2139df5ae3db86250a796042658f0aa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-26T12:59:08Z",
    "title_canon_sha256": "2b0686516bfa5010e5c7a39c58480c70ad2d5a1d95a8abdb52a1b05dfae5302c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5977",
    "kind": "arxiv",
    "version": 1
  }
}