Pith Number

pith:QLSDU5KI

pith:2019:QLSDU5KI2URXQ2EK7CVKFB3LV2

not attested not anchored not stored refs pending

Probabilistic Arzela-Ascoli theorem

Mohammed Bachir, Nazaret Bruno

arxiv:1904.12514 v1 · 2019-04-29 · 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{QLSDU5KI2URXQ2EK7CVKFB3LV2}

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	2026-05-17T23:47:34.983822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82e43a7548d52378688af8aaa2876baea8aa4a0e2bd885c4a20360e6a75daa0c

Aliases

arxiv: 1904.12514 · arxiv_version: 1904.12514v1 · doi: 10.48550/arxiv.1904.12514 · pith_short_12: QLSDU5KI2URX · pith_short_16: QLSDU5KI2URXQ2EK · pith_short_8: QLSDU5KI

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/QLSDU5KI2URXQ2EK7CVKFB3LV2 \
  | 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: 82e43a7548d52378688af8aaa2876baea8aa4a0e2bd885c4a20360e6a75daa0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c4d5c35ff0e7a5252c91f7e7bde38fde5df8ef3efc36920abe511b37677505",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-29T09:07:29Z",
    "title_canon_sha256": "2a57bbfc144e84b32a466cab07583a98064539595f8acffc6bb5ef335ce7389f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12514",
    "kind": "arxiv",
    "version": 1
  }
}