Pith Number

pith:LQJPMFTE

pith:2025:LQJPMFTEYG5CHO5YFQTK4CMSNW

not attested not anchored not stored refs pending

Topological volumes of certain complete affine manifolds

Alberto Casali, Marco Moraschini

arxiv:2502.06303 v1 · 2025-02-10 · math.GT · 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{LQJPMFTEYG5CHO5YFQTK4CMSNW}

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	2026-07-05T10:11:50.217970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c12f61664c1ba23bbb82c26ae09926d890ffbc646c20d87bf173eb6de47d15b

Aliases

arxiv: 2502.06303 · arxiv_version: 2502.06303v1 · doi: 10.48550/arxiv.2502.06303 · pith_short_12: LQJPMFTEYG5C · pith_short_16: LQJPMFTEYG5CHO5Y · pith_short_8: LQJPMFTE

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/LQJPMFTEYG5CHO5YFQTK4CMSNW \
  | 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: 5c12f61664c1ba23bbb82c26ae09926d890ffbc646c20d87bf173eb6de47d15b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1cf17f356158394f039478f7465ecf45f382995bed739e1695894301df2bf5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-02-10T09:49:41Z",
    "title_canon_sha256": "1e1d63b4fad9a42e81b2d899301139638b1ba857317e6e06da0f17fc5c5f5e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06303",
    "kind": "arxiv",
    "version": 1
  }
}