Pith Number

pith:VVOG6GZ6

pith:2015:VVOG6GZ6FRF5TGUDHOCXT6HBWB

not attested not anchored not stored refs pending

Existence of fixed points for condensing operators under an integral condition

Bouzara Nour El Houda, Kadri Dogan, Vatan Karakaya, Yunus Atalan

arxiv:1507.00188 v1 · 2015-07-01 · 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{VVOG6GZ6FRF5TGUDHOCXT6HBWB}

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	2026-05-18T01:37:30.282190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5c6f1b3e2c4bd99a833b8579f8e1b05675e0ff82a2e5f45adb922ead0bb0b2

Aliases

arxiv: 1507.00188 · arxiv_version: 1507.00188v1 · doi: 10.48550/arxiv.1507.00188 · pith_short_12: VVOG6GZ6FRF5 · pith_short_16: VVOG6GZ6FRF5TGUD · pith_short_8: VVOG6GZ6

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/VVOG6GZ6FRF5TGUDHOCXT6HBWB \
  | 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: ad5c6f1b3e2c4bd99a833b8579f8e1b05675e0ff82a2e5f45adb922ead0bb0b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229bd0c1361e2dc73bfa85a651bdc5695dc26b10accb25c78e009f7e81593e10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-01T11:10:01Z",
    "title_canon_sha256": "3f4da3c73765516d623c41e5a76f1fbfbbc94becf4a74cdb068fb7cf2d3c572d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00188",
    "kind": "arxiv",
    "version": 1
  }
}