Pith Number

pith:IP53KFPO

pith:2013:IP53KFPOCGIB6DKGWRUQOTK5H3

not attested not anchored not stored refs pending

A generalization of \'Ciri\'c fixed point theorem

Kanokwan Sitthithakerngkiet, Nguyen Van Dung, Poom Kumam

arxiv:1309.5589 v3 · 2013-09-22 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IP53KFPOCGIB6DKGWRUQOTK5H3}

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	2026-05-18T02:56:11.490269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43fbb515ee11901f0d46b469074d5d3ef80295a6188915f41b80d8dc2096b742

Aliases

arxiv: 1309.5589 · arxiv_version: 1309.5589v3 · doi: 10.48550/arxiv.1309.5589 · pith_short_12: IP53KFPOCGIB · pith_short_16: IP53KFPOCGIB6DKG · pith_short_8: IP53KFPO

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/IP53KFPOCGIB6DKGWRUQOTK5H3 \
  | 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: 43fbb515ee11901f0d46b469074d5d3ef80295a6188915f41b80d8dc2096b742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a1b6c7f6cecf5d4bc034019169f722623b172a3c28b1b7d7022ef97fb222a44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-09-22T10:53:43Z",
    "title_canon_sha256": "4c9a14aa05e449ddff55ca0bd60742d1602f2508fa40558adf9c988a86a53f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5589",
    "kind": "arxiv",
    "version": 3
  }
}