Pith Number

pith:VUJW4MBP

pith:2009:VUJW4MBPCOESYN3EHCVAFTBXTA

not attested not anchored not stored refs pending

A Quantum Kirwan Map, I: Fredholm Theory

Fabian Ziltener

arxiv:0905.4047 v2 · 2009-05-25 · 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{VUJW4MBPCOESYN3EHCVAFTBXTA}

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	2026-05-18T03:44:36.619900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad136e302f13892c376438aa02cc379827f6c9e6cfb73d96ce52326291635c9a

Aliases

arxiv: 0905.4047 · arxiv_version: 0905.4047v2 · doi: 10.48550/arxiv.0905.4047 · pith_short_12: VUJW4MBPCOES · pith_short_16: VUJW4MBPCOESYN3E · pith_short_8: VUJW4MBP

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/VUJW4MBPCOESYN3EHCVAFTBXTA \
  | 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: ad136e302f13892c376438aa02cc379827f6c9e6cfb73d96ce52326291635c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d479d6343d613edc4b7ece403939b86c75ed05dbfa68a8b5e759383f184a02d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-05-25T16:34:06Z",
    "title_canon_sha256": "d004094b52f45ad4a46dc9bf6e534a3b16c85947fab833c9f61fad9fd054df8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4047",
    "kind": "arxiv",
    "version": 2
  }
}