Pith Number

pith:D33NNOD2

pith:2015:D33NNOD2ZO6TYOIXIFNSJIKACJ

not attested not anchored not stored refs pending

Remarks on Multiplicative Metric Spaces and Related Fixed Points

A. Pitea, K. Abodayeh, T. Abdeljawad, W. Shatanawi

arxiv:1512.03771 v1 · 2015-12-11 · 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{D33NNOD2ZO6TYOIXIFNSJIKACJ}

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	2026-05-18T01:24:31.410156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef6d6b87acbbd3c3917415b24a140126bdcdf459cef46da7bdffa06cf34ad2e

Aliases

arxiv: 1512.03771 · arxiv_version: 1512.03771v1 · doi: 10.48550/arxiv.1512.03771 · pith_short_12: D33NNOD2ZO6T · pith_short_16: D33NNOD2ZO6TYOIX · pith_short_8: D33NNOD2

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/D33NNOD2ZO6TYOIXIFNSJIKACJ \
  | 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: 1ef6d6b87acbbd3c3917415b24a140126bdcdf459cef46da7bdffa06cf34ad2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd32c94f8bf80a8513a005fcbe0efd30b0878f10ea76e17ba26d7982c8fe2f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-12-11T19:46:25Z",
    "title_canon_sha256": "ebc7dea05a7d2d9d69a591e10a5d8ec4531028106c462831e1954fda54048ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03771",
    "kind": "arxiv",
    "version": 1
  }
}