Pith Number

pith:BXRJF4NR

pith:2024:BXRJF4NREOFBGPR7LAW2GM7NQC

not attested not anchored not stored refs pending

Multiplicity result for mixed local and nonlocal Kirchhoff problem involving critical growth

V. M. Tripathi

arxiv:2411.17169 v3 · 2024-11-26 · 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{BXRJF4NREOFBGPR7LAW2GM7NQC}

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	2026-07-05T09:41:46.928295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de292f1b1238a133e3f582da333ed8081f45e9038ef7c63117810bc37ca6a50

Aliases

arxiv: 2411.17169 · arxiv_version: 2411.17169v3 · doi: 10.48550/arxiv.2411.17169 · pith_short_12: BXRJF4NREOFB · pith_short_16: BXRJF4NREOFBGPR7 · pith_short_8: BXRJF4NR

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/BXRJF4NREOFBGPR7LAW2GM7NQC \
  | 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: 0de292f1b1238a133e3f582da333ed8081f45e9038ef7c63117810bc37ca6a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2f74dfa3fe18d6d9d2f781e6e47dd47981825111788b8ab01efe41e439a443",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-26T07:18:50Z",
    "title_canon_sha256": "463ac2c34c92574cd993c2f94075fde4d2d3234975a1d990c460bb8ade2a8708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17169",
    "kind": "arxiv",
    "version": 3
  }
}