Pith Number

pith:J6AQZ4VN

pith:2024:J6AQZ4VNNLF3SNPVICTLNRCBOR

not attested not anchored not stored refs pending

Remarks on b-enriched nonexpansive mappings

Mujahid Abbas, Rizwan Anjum

arxiv:2405.07999 v1 · 2024-05-03 · 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{J6AQZ4VNNLF3SNPVICTLNRCBOR}

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	2026-07-05T08:18:53.833854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f810cf2ad6acbb935f540a6b6c44174442272954bc3e531a16f61cef91eb599

Aliases

arxiv: 2405.07999 · arxiv_version: 2405.07999v1 · doi: 10.48550/arxiv.2405.07999 · pith_short_12: J6AQZ4VNNLF3 · pith_short_16: J6AQZ4VNNLF3SNPV · pith_short_8: J6AQZ4VN

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/J6AQZ4VNNLF3SNPVICTLNRCBOR \
  | 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: 4f810cf2ad6acbb935f540a6b6c44174442272954bc3e531a16f61cef91eb599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2abbbf7caf39e3d9befb64b84db9ca973fe0a8589058c33eab7a162cc21c1685",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-05-03T08:37:38Z",
    "title_canon_sha256": "f7d78fd7a9c783274fed48201b2bfa13ac910164077b62f389a81e5b765412ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.07999",
    "kind": "arxiv",
    "version": 1
  }
}