Pith Number

pith:LJ2X257J

pith:2013:LJ2X257JVC3MTGLB2NFRJZ23AD

not attested not anchored not stored refs pending

On the Orbits of not Expansive Mappings in Metric Spaces

Sergio Venturini

arxiv:1304.1023 v1 · 2013-04-03 · math.CV · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJ2X257JVC3MTGLB2NFRJZ23AD}

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	2026-05-18T03:29:05.513722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a757d77e9a8b6c99961d34b14e75b00fd4b04eaee88f67757316a483ed9f443

Aliases

arxiv: 1304.1023 · arxiv_version: 1304.1023v1 · doi: 10.48550/arxiv.1304.1023 · pith_short_12: LJ2X257JVC3M · pith_short_16: LJ2X257JVC3MTGLB · pith_short_8: LJ2X257J

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/LJ2X257JVC3MTGLB2NFRJZ23AD \
  | 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: 5a757d77e9a8b6c99961d34b14e75b00fd4b04eaee88f67757316a483ed9f443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae161e5251b965f23dc6acf25848e7d14d04344cd3d4aea40600e74cb7702f9",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-04-03T17:34:28Z",
    "title_canon_sha256": "7bcaade5c16d53e8280fc270e648cee3f08e0298785a8e2dc48244d6b893c17e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1023",
    "kind": "arxiv",
    "version": 1
  }
}