Pith Number

pith:LHWKVOMD

pith:2012:LHWKVOMDPNN7ZRJFJQ2MFD66QF

not attested not anchored not stored refs pending

Invertible Dirac operators and handle attachments on manifolds with boundary

Mattias Dahl, Nadine Gro{\ss}e

arxiv:1203.3637 v2 · 2012-03-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHWKVOMDPNN7ZRJFJQ2MFD66QF}

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	2026-05-18T02:49:31.892797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ecaab9837b5bfcc5254c34c28fde8142dd3c724ad3bae011fb244a404b601b

Aliases

arxiv: 1203.3637 · arxiv_version: 1203.3637v2 · doi: 10.48550/arxiv.1203.3637 · pith_short_12: LHWKVOMDPNN7 · pith_short_16: LHWKVOMDPNN7ZRJF · pith_short_8: LHWKVOMD

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/LHWKVOMDPNN7ZRJFJQ2MFD66QF \
  | 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: 59ecaab9837b5bfcc5254c34c28fde8142dd3c724ad3bae011fb244a404b601b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619be1b3bf6e5421750675f9c325b503181f1f64d8d5217e300c80927d9084cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-16T08:53:24Z",
    "title_canon_sha256": "2de89ca9451a62d589d0f4da9f923125a9a5d419b6e13042636c3f2847057265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3637",
    "kind": "arxiv",
    "version": 2
  }
}