Pith Number

pith:SQ2VP5IX

pith:2009:SQ2VP5IXD6RRWU2CQHL3MD3I7R

not attested not anchored not stored refs pending

Cohomology and Hodge Theory on Symplectic Manifolds: I

Li-Sheng Tseng, Shing-Tung Yau

arxiv:0909.5418 v2 · 2009-09-29 · math.SG · hep-th · 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{SQ2VP5IXD6RRWU2CQHL3MD3I7R}

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	2026-05-18T03:44:24.888863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

943557f5171fa31b534281d7b60f68fc5785d2b65b53836de981ae85639f1b72

Aliases

arxiv: 0909.5418 · arxiv_version: 0909.5418v2 · doi: 10.48550/arxiv.0909.5418 · pith_short_12: SQ2VP5IXD6RR · pith_short_16: SQ2VP5IXD6RRWU2C · pith_short_8: SQ2VP5IX

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/SQ2VP5IXD6RRWU2CQHL3MD3I7R \
  | 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: 943557f5171fa31b534281d7b60f68fc5785d2b65b53836de981ae85639f1b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1bcd4daea5bf8b5fb62dcf1ba0d9648e7c38a5b7d8a50d64462ae612b027d7",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-09-29T19:39:59Z",
    "title_canon_sha256": "9eea60ea392285b5b624d6425f6709f129ffd5123cb85220b378f12755fc180b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5418",
    "kind": "arxiv",
    "version": 2
  }
}