Pith Number

pith:IYXXOZX7

pith:2009:IYXXOZX7O42TUI4SMSFHBAHGTI

not attested not anchored not stored refs pending

Moduli spaces of vector bundles over a Klein surface

Florent Schaffhauser

arxiv:0912.0659 v4 · 2009-12-03 · math.DG · 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{IYXXOZX7O42TUI4SMSFHBAHGTI}

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	2026-05-18T04:20:13.288027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

462f7766ff77353a2392648a7080e69a3bbb421bcbe0921bf256f1dd60eec801

Aliases

arxiv: 0912.0659 · arxiv_version: 0912.0659v4 · doi: 10.48550/arxiv.0912.0659 · pith_short_12: IYXXOZX7O42T · pith_short_16: IYXXOZX7O42TUI4S · pith_short_8: IYXXOZX7

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/IYXXOZX7O42TUI4SMSFHBAHGTI \
  | 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: 462f7766ff77353a2392648a7080e69a3bbb421bcbe0921bf256f1dd60eec801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1b13d0658d098f67977fd6c5912557fb17e0ca9ca454d539902a618863708f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-03T14:14:48Z",
    "title_canon_sha256": "e7938327a4a988da63231528884a52af07a8417fb9ec6b9dc19004eabf6da026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0659",
    "kind": "arxiv",
    "version": 4
  }
}