Pith Number

pith:Z56FYXSV

pith:2019:Z56FYXSVG2G2F64WX2KSHJE3PK

not attested not anchored not stored refs pending

Limit operators techniques on general metric measure spaces of bounded geometry

Christian Seifert, Raffael Hagger

arxiv:1908.01985 v2 · 2019-08-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z56FYXSVG2G2F64WX2KSHJE3PK}

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	2026-07-05T02:38:59.447694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7c5c5e55368da2fb96be9523a49b7aa2aa07d7de69a0d5c0a6c1f47bcb5c51

Aliases

arxiv: 1908.01985 · arxiv_version: 1908.01985v2 · doi: 10.48550/arxiv.1908.01985 · pith_short_12: Z56FYXSVG2G2 · pith_short_16: Z56FYXSVG2G2F64W · pith_short_8: Z56FYXSV

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/Z56FYXSVG2G2F64WX2KSHJE3PK \
  | 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: cf7c5c5e55368da2fb96be9523a49b7aa2aa07d7de69a0d5c0a6c1f47bcb5c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39122b4cf1732e153cd46050210087dc9f8a360a9823a8109ebfbf145b7de0fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-06T07:05:39Z",
    "title_canon_sha256": "9ce7d0ad8621712466e0aec0772d0da33f45df86c58deb1ba85e87cc330b97e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01985",
    "kind": "arxiv",
    "version": 2
  }
}