Pith Number

pith:HUN5BT47

pith:2015:HUN5BT47VOM6IX6QTWZIC5A4H2

not attested not anchored not stored refs pending

Existence and multiplicity results for fractional $p$-Kirchhoff equation with sign changing nonlinearities

K. Sreenadh, Pawan Kumar Mishra

arxiv:1502.06316 v2 · 2015-02-23 · 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{HUN5BT47VOM6IX6QTWZIC5A4H2}

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	2026-05-18T01:31:11.333077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1bd0cf9fab99e45fd09db281741c3eb1b8872e9daa0e31d122b08319a9ed14

Aliases

arxiv: 1502.06316 · arxiv_version: 1502.06316v2 · doi: 10.48550/arxiv.1502.06316 · pith_short_12: HUN5BT47VOM6 · pith_short_16: HUN5BT47VOM6IX6Q · pith_short_8: HUN5BT47

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/HUN5BT47VOM6IX6QTWZIC5A4H2 \
  | 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: 3d1bd0cf9fab99e45fd09db281741c3eb1b8872e9daa0e31d122b08319a9ed14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e8882dbfd4cf7ecf4704a1ad01522ea02e36e87549a69c684564b6321d9f3fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-23T05:20:24Z",
    "title_canon_sha256": "c668eafeefe27feb5c532d620c43015f36b2d4fb1b6e4ab2398bc680a1c8e712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06316",
    "kind": "arxiv",
    "version": 2
  }
}