Pith Number

pith:3UJLNXFM

pith:2013:3UJLNXFM4M2GLKPUJ5MCXEFMNZ

not attested not anchored not stored refs pending

Generalization of the Banach contraction principle

Maher Berzig

arxiv:1310.0995 v1 · 2013-09-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UJLNXFM4M2GLKPUJ5MCXEFMNZ}

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	2026-05-18T03:11:24.783943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd12b6dcace33465a9f44f582b90ac6e6953462576067e6e778eee35ca85e94b

Aliases

arxiv: 1310.0995 · arxiv_version: 1310.0995v1 · doi: 10.48550/arxiv.1310.0995 · pith_short_12: 3UJLNXFM4M2G · pith_short_16: 3UJLNXFM4M2GLKPU · pith_short_8: 3UJLNXFM

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/3UJLNXFM4M2GLKPUJ5MCXEFMNZ \
  | 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: dd12b6dcace33465a9f44f582b90ac6e6953462576067e6e778eee35ca85e94b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89ffcd3df9bcfe0f80f3d92d625464e87759a7b6a01c154a28557f67f490253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-30T20:21:05Z",
    "title_canon_sha256": "5984686641bdebef20cce8c5c30e5f01c88df68a2825a021b80d10c21aeffdbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0995",
    "kind": "arxiv",
    "version": 1
  }
}