Pith Number

pith:5F3W4VQZ

pith:2012:5F3W4VQZCDQFTUYJHUCCPWRG7V

not attested not anchored not stored refs pending

Note on new symplectic 4-manifolds with nonnegative signature

Anar Akhmedov

arxiv:1207.1973 v1 · 2012-07-09 · math.GT · math.AG · 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{5F3W4VQZCDQFTUYJHUCCPWRG7V}

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	2026-05-18T03:51:26.443571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9776e561910e059d3093d0427da26fd6bfb32b8eda69bd148ca191f76e629ca

Aliases

arxiv: 1207.1973 · arxiv_version: 1207.1973v1 · doi: 10.48550/arxiv.1207.1973 · pith_short_12: 5F3W4VQZCDQF · pith_short_16: 5F3W4VQZCDQFTUYJ · pith_short_8: 5F3W4VQZ

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/5F3W4VQZCDQFTUYJHUCCPWRG7V \
  | 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: e9776e561910e059d3093d0427da26fd6bfb32b8eda69bd148ca191f76e629ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdaa625c6b727be95e4aa1b6dbd20b3f3e8af868a34b51c7ddd9e3ab23dbe662",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-09T07:44:24Z",
    "title_canon_sha256": "78c18da992194a9b838ee754b9aa576b5728f7804fef4f0b38b5ef26b8a59b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1973",
    "kind": "arxiv",
    "version": 1
  }
}