Pith Number

pith:YDQFNKR2

pith:2012:YDQFNKR2ANV7GUJIKVLIHCE7TM

not attested not anchored not stored refs pending

A $\phi$ - contraction Principle in Partial Metric Spaces with Self-distance Terms

Naseer Shahzad, Thabet Abdeljawad, Younis Zaidan

arxiv:1210.0671 v1 · 2012-10-02 · 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{YDQFNKR2ANV7GUJIKVLIHCE7TM}

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	2026-05-18T01:04:30.636477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0e056aa3a036bf35128555683889f9b0de46cd7af3a59fa17465c0921334cf1

Aliases

arxiv: 1210.0671 · arxiv_version: 1210.0671v1 · doi: 10.48550/arxiv.1210.0671 · pith_short_12: YDQFNKR2ANV7 · pith_short_16: YDQFNKR2ANV7GUJI · pith_short_8: YDQFNKR2

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/YDQFNKR2ANV7GUJIKVLIHCE7TM \
  | 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: c0e056aa3a036bf35128555683889f9b0de46cd7af3a59fa17465c0921334cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6678303df75a3eafcceea349a2c3ea9ca0625ce4e7c9dd8d83f9dc8e3a68dcb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-10-02T06:47:10Z",
    "title_canon_sha256": "d0e03eba8e8233f676661dd2d3d94a8734737acd53935f141360e3770fd67008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0671",
    "kind": "arxiv",
    "version": 1
  }
}