Pith Number

pith:NKFIZK7W

pith:2019:NKFIZK7WGV2326QYIYIK44FUEO

not attested not anchored not stored refs pending

Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

Bruno Nazaret (CEREMADE), Mohammed Bachir, Nazaret Bruno

arxiv:1907.05241 v1 · 2019-07-10 · 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{NKFIZK7WGV2326QYIYIK44FUEO}

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	2026-05-17T23:40:51.053202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8a8cabf63575bd7a184610ae70b423a0843de336eebb39468b68574f185f33

Aliases

arxiv: 1907.05241 · arxiv_version: 1907.05241v1 · doi: 10.48550/arxiv.1907.05241 · pith_short_12: NKFIZK7WGV23 · pith_short_16: NKFIZK7WGV2326QY · pith_short_8: NKFIZK7W

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/NKFIZK7WGV2326QYIYIK44FUEO \
  | 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: 6a8a8cabf63575bd7a184610ae70b423a0843de336eebb39468b68574f185f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e272991d12379f473979e87107503dcb4bace1a0062ea4104e714bcf89d0da91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-10T13:59:28Z",
    "title_canon_sha256": "996e881bf98ba270a512d29157eb1468abe9e2f03dafb103dd7d08ea611241fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05241",
    "kind": "arxiv",
    "version": 1
  }
}