Pith Number

pith:ZTPE7Q2F

pith:2013:ZTPE7Q2FUXVG2QX7P6UMT2H57H

not attested not anchored not stored refs pending

Localized Index and $L^2$-Lefschetz fixed point formula for orbifolds

Bai-Ling Wang, Hang Wang

arxiv:1307.2088 v2 · 2013-07-08 · math.DG · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTPE7Q2FUXVG2QX7P6UMT2H57H}

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	2026-05-18T03:17:33.700013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccde4fc345a5ea6d42ff7fa8c9e8fdf9cb3ba8ba7aef50a77dfb381eae5fea10

Aliases

arxiv: 1307.2088 · arxiv_version: 1307.2088v2 · doi: 10.48550/arxiv.1307.2088 · pith_short_12: ZTPE7Q2FUXVG · pith_short_16: ZTPE7Q2FUXVG2QX7 · pith_short_8: ZTPE7Q2F

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/ZTPE7Q2FUXVG2QX7P6UMT2H57H \
  | 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: ccde4fc345a5ea6d42ff7fa8c9e8fdf9cb3ba8ba7aef50a77dfb381eae5fea10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f052cd2d81b7eaaabd8fa11996666195e12c94781f8d0783da955f49aed2d6d",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-08T13:37:30Z",
    "title_canon_sha256": "5e86aa2605c372371a8d6fc53a04070aa6a69ef4fd535f82dab53b2c447b164e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2088",
    "kind": "arxiv",
    "version": 2
  }
}