Pith Number

pith:PIS5VCL5

pith:2008:PIS5VCL5AM52234QC5OH4FE7J6

not attested not anchored not stored refs pending

Giroux correspondence, confoliations, and symplectic structures on S^1 x M

Jin Hong Kim

arxiv:0811.0641 v3 · 2008-11-05 · math.GT · 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{PIS5VCL5AM52234QC5OH4FE7J6}

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	2026-07-04T15:35:28.670689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a25da897d033bad6f90175c7e149f4fa5d5b400e28235b6b440a6e88f1c393a

Aliases

arxiv: 0811.0641 · arxiv_version: 0811.0641v3 · doi: 10.48550/arxiv.0811.0641 · pith_short_12: PIS5VCL5AM52 · pith_short_16: PIS5VCL5AM52234Q · pith_short_8: PIS5VCL5

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/PIS5VCL5AM52234QC5OH4FE7J6 \
  | 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: 7a25da897d033bad6f90175c7e149f4fa5d5b400e28235b6b440a6e88f1c393a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94147c6e7ffa7c507e96abb78a1677fd0ef179abee0982a923f71d38e8ff9d3",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-11-05T14:55:26Z",
    "title_canon_sha256": "4f9c181d19c0740aabc2d34a8c332e0bc498b012bed82ee6bfba419c90d973db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0641",
    "kind": "arxiv",
    "version": 3
  }
}