Pith Number

pith:GU53KWSG

pith:2011:GU53KWSGXECUV5N422FGHL4RF2

not attested not anchored not stored refs pending

End point of some generalized weakly contractive multivalued mappings

Ali Abkar, Mohammad Eslamian

arxiv:1102.1511 v1 · 2011-02-08 · 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{GU53KWSGXECUV5N422FGHL4RF2}

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	2026-05-18T04:29:53.062717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353bb55a46b9054af5bcd68a63af912e81b89166631169debd5180e0553f9d41

Aliases

arxiv: 1102.1511 · arxiv_version: 1102.1511v1 · doi: 10.48550/arxiv.1102.1511 · pith_short_12: GU53KWSGXECU · pith_short_16: GU53KWSGXECUV5N4 · pith_short_8: GU53KWSG

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/GU53KWSGXECUV5N422FGHL4RF2 \
  | 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: 353bb55a46b9054af5bcd68a63af912e81b89166631169debd5180e0553f9d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1a2cdb2aa4bd8bcc8002651e8cc7dab835ef9c4b50e27be026ee3a8aea3d7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-08T05:31:58Z",
    "title_canon_sha256": "ded1cf8a11fe5f75a6dd4d6a5e091caa6c3f14f842e78d9f7612aac5d5e915e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1511",
    "kind": "arxiv",
    "version": 1
  }
}