Pith Number

pith:4LZYYYOB

pith:2025:4LZYYYOB7UVKDXAFZPOYUPTCRU

not attested not anchored not stored refs pending

On Common FIXED Points Of Weakly Compatible Mappings Satisfying `Generalized Condition (B)'

Alemayehu G. Negash, G. V. R. Babu, Mujahid Abbas

arxiv:2508.16578 v1 · 2025-07-02 · 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{4LZYYYOB7UVKDXAFZPOYUPTCRU}

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	2026-07-05T11:57:59.551461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f38c61c1fd2aa1dc05cbdd8a3e628d382fd3ff767f83f36ebbacd202b9c41f

Aliases

arxiv: 2508.16578 · arxiv_version: 2508.16578v1 · doi: 10.48550/arxiv.2508.16578 · pith_short_12: 4LZYYYOB7UVK · pith_short_16: 4LZYYYOB7UVKDXAF · pith_short_8: 4LZYYYOB

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/4LZYYYOB7UVKDXAFZPOYUPTCRU \
  | 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: e2f38c61c1fd2aa1dc05cbdd8a3e628d382fd3ff767f83f36ebbacd202b9c41f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c0afd9bd93c20622a79d5629452efc706a2ee5f772f90223fbeebbfba956f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-07-02T01:25:02Z",
    "title_canon_sha256": "e71370e21eebb8a0ce75796f41dc5bd60bd208369c32896214bae3fce9f63c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16578",
    "kind": "arxiv",
    "version": 1
  }
}