Pith Number

pith:VVBUDKYJ

pith:2002:VVBUDKYJ4TZD4OQPMP44MEVPNU

not attested not anchored not stored refs pending

The topology of the space of symplectic balls in rational 4-manifolds

Francois Lalonde, Martin Pinsonnault

arxiv:math/0207096 v5 · 2002-07-11 · 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{VVBUDKYJ4TZD4OQPMP44MEVPNU}

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	2026-05-18T04:23:33.418139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad4341ab09e4f23e3a0f63f9c612af6d1ca93d587bac76569214b97d5f94573a

Aliases

arxiv: math/0207096 · arxiv_version: math/0207096v5 · doi: 10.48550/arxiv.math/0207096 · pith_short_12: VVBUDKYJ4TZD · pith_short_16: VVBUDKYJ4TZD4OQP · pith_short_8: VVBUDKYJ

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/VVBUDKYJ4TZD4OQPMP44MEVPNU \
  | 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: ad4341ab09e4f23e3a0f63f9c612af6d1ca93d587bac76569214b97d5f94573a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc66ea9930b7c02eca317de5eafabfcd469ff8d697a5362532048b629179901e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2002-07-11T18:02:23Z",
    "title_canon_sha256": "ffd68241fe11480cac8972a03f97a8bb95cea567c1d8e62ac84262b36c152f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207096",
    "kind": "arxiv",
    "version": 5
  }
}