pith. sign in
Pith Number

pith:PPL5Z3E5

pith:2011:PPL5Z3E53BCTNPYAX44GAGGGA3
not attested not anchored not stored refs pending

Some Coupled Fixed Point Results on Partial Metric Spaces

Hassen Aydi

arxiv:1103.3772 v1 · 2011-03-19 · math.GN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PPL5Z3E53BCTNPYAX44GAGGGA3}

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 2026-05-18T01:03:24.708749Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7bd7dcec9dd84536bf00bf386018c606c5e30c26c0e9486fe703f2fd734a3970

Aliases

arxiv: 1103.3772 · arxiv_version: 1103.3772v1 · doi: 10.48550/arxiv.1103.3772 · pith_short_12: PPL5Z3E53BCT · pith_short_16: PPL5Z3E53BCTNPYA · pith_short_8: PPL5Z3E5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PPL5Z3E53BCTNPYAX44GAGGGA3 \
  | 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: 7bd7dcec9dd84536bf00bf386018c606c5e30c26c0e9486fe703f2fd734a3970
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5967a67a9cdb7716b4a5f74638c48e21f5c17fe07c150a4fc4066c32e1acb80b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-03-19T11:19:19Z",
    "title_canon_sha256": "7423a3d3c77e929ed495a14eca78cc7d825fc5cf0a022f75531cfafd73c6434d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3772",
    "kind": "arxiv",
    "version": 1
  }
}