Pith Number

pith:LJXWGOHC

pith:2016:LJXWGOHC4Q7H7NDQLRZOOOULRK

not attested not anchored not stored refs pending

New results for the Liebau phenomenon via fixed point index

Gennaro Infante, Jos\'e \'Angel Cid, Milan Tvrd\'y, Miros{\l}awa Zima

arxiv:1606.03602 v3 · 2016-06-11 · 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{LJXWGOHC4Q7H7NDQLRZOOOULRK}

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	2026-05-18T00:28:35.936437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6f6338e2e43e7fb4705c72e73a8b8aa5f48b43526d08c34e1dc139fd9c6487

Aliases

arxiv: 1606.03602 · arxiv_version: 1606.03602v3 · doi: 10.48550/arxiv.1606.03602 · pith_short_12: LJXWGOHC4Q7H · pith_short_16: LJXWGOHC4Q7H7NDQ · pith_short_8: LJXWGOHC

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/LJXWGOHC4Q7H7NDQLRZOOOULRK \
  | 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: 5a6f6338e2e43e7fb4705c72e73a8b8aa5f48b43526d08c34e1dc139fd9c6487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7fe7967514e63860e84af12c580915f2042c08aa85945e11ccf4f4a53cd24e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-11T14:25:32Z",
    "title_canon_sha256": "d57eca7e494ae8071620c8e3ba33011be02a2dc089271302e8ba64cd80842568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03602",
    "kind": "arxiv",
    "version": 3
  }
}