Pith Number

pith:OJVZGCFL

pith:2009:OJVZGCFLRY22AN2SWVGNQ2GCPB

not attested not anchored not stored refs pending

Large scale detection of half-flats in CAT(0)-spaces

J.-F. Lafont, S. Francaviglia

arxiv:0912.1172 v1 · 2009-12-07 · math.MG · 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{OJVZGCFLRY22AN2SWVGNQ2GCPB}

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	2026-05-18T04:40:54.615027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726b9308ab8e35a03752b54cd868c2784c518cb3bc2b2ba53c6f56e6ecf25ed4

Aliases

arxiv: 0912.1172 · arxiv_version: 0912.1172v1 · doi: 10.48550/arxiv.0912.1172 · pith_short_12: OJVZGCFLRY22 · pith_short_16: OJVZGCFLRY22AN2S · pith_short_8: OJVZGCFL

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/OJVZGCFLRY22AN2SWVGNQ2GCPB \
  | 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: 726b9308ab8e35a03752b54cd868c2784c518cb3bc2b2ba53c6f56e6ecf25ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f26ed9f9ff67c88c5494f239b91e43eebeb92bd0b8dfcff053a5b6ab325a19",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-12-07T07:01:08Z",
    "title_canon_sha256": "5b05a0abd5a6a5324a7588d414d25c022439da69795751726e9cb47390b0f712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1172",
    "kind": "arxiv",
    "version": 1
  }
}