Pith Number

pith:DWQVLSSZ

pith:2002:DWQVLSSZJZQWJHFR3EZ3AZPPX2

not attested not anchored not stored refs pending

Wall crossing for symplectic vortices and quantum cohomology

Dietmar A. Salamon, Kai Cieliebak

arxiv:math/0209170 v2 · 2002-09-13 · 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{DWQVLSSZJZQWJHFR3EZ3AZPPX2}

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	2026-07-04T14:36:26.605723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1da155ca594e61649cb1d933b065efbe93e6d05c29e40e24a9ccbfcf559d6d79

Aliases

arxiv: math/0209170 · arxiv_version: math/0209170v2 · doi: 10.48550/arxiv.math/0209170 · pith_short_12: DWQVLSSZJZQW · pith_short_16: DWQVLSSZJZQWJHFR · pith_short_8: DWQVLSSZ

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/DWQVLSSZJZQWJHFR3EZ3AZPPX2 \
  | 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: 1da155ca594e61649cb1d933b065efbe93e6d05c29e40e24a9ccbfcf559d6d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad20af876fb727a3d9996118a90c69c529f37a4a499a29fc206cb7f92e0d3b7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2002-09-13T15:06:53Z",
    "title_canon_sha256": "b0426d1644a126f471cbc61b8f3e4ca8d88bce33b42f2ac1fb1c18e3f0242826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209170",
    "kind": "arxiv",
    "version": 2
  }
}