Pith Number

pith:AV5BQXRB

pith:2025:AV5BQXRBDGVTEIZX7UUXD6PMPC

not attested not anchored not stored refs pending

Infinite connected components of the space of symplectic forms on ruled surfaces

Jianfeng Lin, WeiWei Wu

arxiv:2507.14636 v2 · 2025-07-19 · 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{AV5BQXRBDGVTEIZX7UUXD6PMPC}

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	2026-07-05T11:40:57.744154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

057a185e2119ab322337fd2971f9ec78aeb2f4d71965a8e4384de95ce2fb3de7

Aliases

arxiv: 2507.14636 · arxiv_version: 2507.14636v2 · doi: 10.48550/arxiv.2507.14636 · pith_short_12: AV5BQXRBDGVT · pith_short_16: AV5BQXRBDGVTEIZX · pith_short_8: AV5BQXRB

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/AV5BQXRBDGVTEIZX7UUXD6PMPC \
  | 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: 057a185e2119ab322337fd2971f9ec78aeb2f4d71965a8e4384de95ce2fb3de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aec9cacd7adf6be03f52ef059e70bfa82fbdc21681f239e5896dcd7a2923775",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-07-19T14:19:39Z",
    "title_canon_sha256": "86167c7925eb61e9abdc9738097d947f0767acd0e0ae9a3143f9b17db90e0670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14636",
    "kind": "arxiv",
    "version": 2
  }
}