Pith Number

pith:7DEPCCQS

pith:2011:7DEPCCQSW523CCMINWFVSCG7XR

not attested not anchored not stored refs pending

Leafwise Symplectic Structures on Lawson's Foliation (3rd revised)

Yoshihiko Mitsumatsu

arxiv:1101.2319 v4 · 2011-01-12 · math.SG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DEPCCQSW523CCMINWFVSCG7XR}

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	2026-05-18T03:08:25.374041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8c8f10a12b775b109886d8b5908dfbc5399d24def0ee6fddcbae71892a8d879

Aliases

arxiv: 1101.2319 · arxiv_version: 1101.2319v4 · doi: 10.48550/arxiv.1101.2319 · pith_short_12: 7DEPCCQSW523 · pith_short_16: 7DEPCCQSW523CCMI · pith_short_8: 7DEPCCQS

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/7DEPCCQSW523CCMINWFVSCG7XR \
  | 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: f8c8f10a12b775b109886d8b5908dfbc5399d24def0ee6fddcbae71892a8d879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3138a9e6a6da20cabadd5ce4b3e40a8af14e736641ab2c6639f4bf669aed87d0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-01-12T10:48:57Z",
    "title_canon_sha256": "8a2d834b80e67acc80b45513a2a4b4adc0006fdc9c862e06529672d5ac41401a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2319",
    "kind": "arxiv",
    "version": 4
  }
}