Pith Number

pith:HBA2MBYS

pith:2012:HBA2MBYSP6LU2G3ATS3BGZGA47

not attested not anchored not stored refs pending

A Quantum Kirwan Map: Bubbling and Fredholm Theory for Symplectic Vortices over the Plane

Fabian Ziltener

arxiv:1209.5866 v2 · 2012-09-26 · math.SG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBA2MBYSP6LU2G3ATS3BGZGA47}

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	2026-05-18T03:44:35.406669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3841a607127f974d1b609cb61364c0e7f0e8d075290a4e9ff90d109bf834a23c

Aliases

arxiv: 1209.5866 · arxiv_version: 1209.5866v2 · doi: 10.48550/arxiv.1209.5866 · pith_short_12: HBA2MBYSP6LU · pith_short_16: HBA2MBYSP6LU2G3A · pith_short_8: HBA2MBYS

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/HBA2MBYSP6LU2G3ATS3BGZGA47 \
  | 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: 3841a607127f974d1b609cb61364c0e7f0e8d075290a4e9ff90d109bf834a23c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41dd11eaaea8ebebb8185b5eb32ece9e54164f8c620e28084a3b8aaba2bcc19f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-09-26T08:30:47Z",
    "title_canon_sha256": "b5a36b862233118893ef2c89def60f291edd3d98fe243538e23a795b50f6af5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5866",
    "kind": "arxiv",
    "version": 2
  }
}