Pith Number

pith:UJTKL2SS

pith:2011:UJTKL2SSZXM3T5B6XYSKIVNNTA

not attested not anchored not stored refs pending

Effective metastability of Halpern iterates in CAT(0) spaces

Laurentiu Leustean, Ulrich Kohlenbach

arxiv:1107.3215 v4 · 2011-07-16 · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJTKL2SSZXM3T5B6XYSKIVNNTA}

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	2026-05-18T03:54:04.432108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a266a5ea52cdd9b9f43ebe24a455ad98197c8cbfbf5149320f17ab1b590b2870

Aliases

arxiv: 1107.3215 · arxiv_version: 1107.3215v4 · doi: 10.48550/arxiv.1107.3215 · pith_short_12: UJTKL2SSZXM3 · pith_short_16: UJTKL2SSZXM3T5B6 · pith_short_8: UJTKL2SS

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/UJTKL2SSZXM3T5B6XYSKIVNNTA \
  | 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: a266a5ea52cdd9b9f43ebe24a455ad98197c8cbfbf5149320f17ab1b590b2870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6d8de8c87bf058bf48dd14a8da0bceca8c8c8ecdae236e78823d28623a49447",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-16T10:00:55Z",
    "title_canon_sha256": "5afe165c534ce1b4e3688f787d843ef801433d32aa503d7e1040ee41c9a6cbee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3215",
    "kind": "arxiv",
    "version": 4
  }
}