Pith Number

pith:C6UROTML

pith:2019:C6UROTML6ZXBYHZRXGGZN55DG4

not attested not anchored not stored refs pending

Existence and multiplicity results for a new $p(x)$-Kirchhoff problem

A. Harrabi, D.D. Repov\v{s}, F. Mtiri, M.K. Hamdani

arxiv:1908.08369 v1 · 2019-08-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6UROTML6ZXBYHZRXGGZN55DG4}

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	2026-07-04T23:59:12.168148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17a9174d8bf66e1c1f31b98d96f7a3371471d85449104c6f06d10f4589e10f36

Aliases

arxiv: 1908.08369 · arxiv_version: 1908.08369v1 · doi: 10.48550/arxiv.1908.08369 · pith_short_12: C6UROTML6ZXB · pith_short_16: C6UROTML6ZXBYHZR · pith_short_8: C6UROTML

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/C6UROTML6ZXBYHZRXGGZN55DG4 \
  | 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: 17a9174d8bf66e1c1f31b98d96f7a3371471d85449104c6f06d10f4589e10f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e032202b3464229bfed7d3d8196b152eb9c459a46447d3c5efb913d496765ee2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-22T13:38:45Z",
    "title_canon_sha256": "18ef20b6af9d0d7f3fd0af4d8fbbc377778d32bc938c6181b7251660da0564c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08369",
    "kind": "arxiv",
    "version": 1
  }
}