Pith Number

pith:37OJEQ3D

pith:2008:37OJEQ3DNJ4ANZEQUT2BFLIKY6

not attested not anchored not stored refs pending

The homotopy type of the space of symplectic balls in rational ruled 4-manifolds

Francois Lalonde, Martin Pinsonnault, Silvia Anjos

arxiv:0807.1031 v2 · 2008-07-07 · 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{37OJEQ3DNJ4ANZEQUT2BFLIKY6}

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	2026-05-18T02:38:19.095908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfdc9243636a7806e490a4f412ad0ac78fdeacf24e4e34fe2fa2c3de15d7416e

Aliases

arxiv: 0807.1031 · arxiv_version: 0807.1031v2 · doi: 10.48550/arxiv.0807.1031 · pith_short_12: 37OJEQ3DNJ4A · pith_short_16: 37OJEQ3DNJ4ANZEQ · pith_short_8: 37OJEQ3D

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/37OJEQ3DNJ4ANZEQUT2BFLIKY6 \
  | 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: dfdc9243636a7806e490a4f412ad0ac78fdeacf24e4e34fe2fa2c3de15d7416e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5316cfc5c1b5b3bbf2f30b2713303d27a0134f61267d251ed480d19900e9120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-07-07T15:13:04Z",
    "title_canon_sha256": "d8764c4da2749e553ba9befd5209da0f5369fe72dc39b1cf788eae0a978633a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1031",
    "kind": "arxiv",
    "version": 2
  }
}