Pith Number

pith:LQOZJSCX

pith:2012:LQOZJSCXOAPKPJXAFNTUIKYK7T

not attested not anchored not stored refs pending

Local convexity in CAT(\kappa)-spaces

Kai-Uwe Bux, Stefan Witzel

arxiv:1211.1871 v2 · 2012-11-08 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQOZJSCXOAPKPJXAFNTUIKYK7T}

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	2026-05-18T02:42:13.297854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1d94c857701ea7a6e02b67442b0afcc5d33aab2e9aeb0a485319d16caba5c5

Aliases

arxiv: 1211.1871 · arxiv_version: 1211.1871v2 · doi: 10.48550/arxiv.1211.1871 · pith_short_12: LQOZJSCXOAPK · pith_short_16: LQOZJSCXOAPKPJXA · pith_short_8: LQOZJSCX

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/LQOZJSCXOAPKPJXAFNTUIKYK7T \
  | 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: 5c1d94c857701ea7a6e02b67442b0afcc5d33aab2e9aeb0a485319d16caba5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff0afb2175d231b2080168e82c79bb9ea73bc5c6b66de091d7874fdeba596ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-11-08T14:50:13Z",
    "title_canon_sha256": "be935439ef25b534abeb11896b0603980918b86cc75559c9bbf7e096ec3376d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1871",
    "kind": "arxiv",
    "version": 2
  }
}