Pith Number

pith:ALSMBJU7

pith:2008:ALSMBJU7MCQGJLUXG5E2FPJ3HE

not attested not anchored not stored refs pending

Symplectic forms and cohomology decomposition of almost complex 4-manifolds

Tedi Draghici, Tian-Jun Li, Weiyi Zhang

arxiv:0812.3680 v2 · 2008-12-19 · math.SG · 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{ALSMBJU7MCQGJLUXG5E2FPJ3HE}

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	2026-05-18T04:24:27.878777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e4c0a69f60a064ae973749a2bd3b3915f64fc5b8dddafd2f27ab98bd0f0a41

Aliases

arxiv: 0812.3680 · arxiv_version: 0812.3680v2 · doi: 10.48550/arxiv.0812.3680 · pith_short_12: ALSMBJU7MCQG · pith_short_16: ALSMBJU7MCQGJLUX · pith_short_8: ALSMBJU7

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/ALSMBJU7MCQGJLUXG5E2FPJ3HE \
  | 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: 02e4c0a69f60a064ae973749a2bd3b3915f64fc5b8dddafd2f27ab98bd0f0a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ab0545b82215c30f924caa42a696c6e02581c1cb9c0a46a3bacfcf0f18db08",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-12-19T19:42:13Z",
    "title_canon_sha256": "d70035f17294fcf4d10e97ed77b8b45d73a6f61bf9cbfd988c420574faee1d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3680",
    "kind": "arxiv",
    "version": 2
  }
}