Pith Number

pith:BEZ34DON

pith:2011:BEZ34DON5TS4Y3XQ7KAABL2AO6

not attested not anchored not stored refs pending

On solutions of $f(x)+f(a_1x)+...+f(a_Nx)=0$ and related equations

J. M. Almira, Kh. F. Abu-Helaiel

arxiv:1111.0608 v2 · 2011-11-02 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEZ34DON5TS4Y3XQ7KAABL2AO6}

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	2026-05-18T04:02:00.540504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0933be0dcdece5cc6ef0fa8000af40778dcf1401c54ae2094ede6db993843c74

Aliases

arxiv: 1111.0608 · arxiv_version: 1111.0608v2 · doi: 10.48550/arxiv.1111.0608 · pith_short_12: BEZ34DON5TS4 · pith_short_16: BEZ34DON5TS4Y3XQ · pith_short_8: BEZ34DON

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/BEZ34DON5TS4Y3XQ7KAABL2AO6 \
  | 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: 0933be0dcdece5cc6ef0fa8000af40778dcf1401c54ae2094ede6db993843c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c946fb8f0b720f48808ff417cc4f1e0525d8eda95f11763b6773d58492bc4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-02T18:58:31Z",
    "title_canon_sha256": "4b64808808e48ebe1d604bf835cfd0f9a100734f562e43ad3bf87d77e910c25c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0608",
    "kind": "arxiv",
    "version": 2
  }
}