Pith Number

pith:Z7O75GIB

pith:2013:Z7O75GIBWILWHPZLNP2ZASMHJ4

not attested not anchored not stored refs pending

Best proximity pair results for relatively nonexpansive mappings in geodesic spaces

Adriana Nicolae, Aurora Fernandez Leon

arxiv:1306.0358 v2 · 2013-06-03 · 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{Z7O75GIBWILWHPZLNP2ZASMHJ4}

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	2026-05-18T03:13:10.088087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfddfe9901b21763bf2b6bf59049874f3a87029be28b33a8bde35f3d875fca7d

Aliases

arxiv: 1306.0358 · arxiv_version: 1306.0358v2 · doi: 10.48550/arxiv.1306.0358 · pith_short_12: Z7O75GIBWILW · pith_short_16: Z7O75GIBWILWHPZL · pith_short_8: Z7O75GIB

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/Z7O75GIBWILWHPZLNP2ZASMHJ4 \
  | 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: cfddfe9901b21763bf2b6bf59049874f3a87029be28b33a8bde35f3d875fca7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5901b4172c936975e819d500ec3f84ae6d0f957c460e149baf2935c579b237",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-03T11:22:20Z",
    "title_canon_sha256": "ae3802440c4c693de2ad58051707759bfd5db764285d20d8b44288bff2219a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0358",
    "kind": "arxiv",
    "version": 2
  }
}