Pith Number

pith:VLKY3FF6

pith:2024:VLKY3FF6KV73LCFPXI2RCLD27T

not attested not anchored not stored refs pending

Multiplicity and asymptotic behavior of normalized solutions to p-Kirchhoff equations

Jianwen Zhou, Puming Yang

arxiv:2411.11037 v2 · 2024-11-17 · 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{VLKY3FF6KV73LCFPXI2RCLD27T}

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	2026-07-05T09:49:12.430662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad58d94be557fb588afba35112c7afcd5a4686c0e9e54d89268b8bfb2480018

Aliases

arxiv: 2411.11037 · arxiv_version: 2411.11037v2 · doi: 10.48550/arxiv.2411.11037 · pith_short_12: VLKY3FF6KV73 · pith_short_16: VLKY3FF6KV73LCFP · pith_short_8: VLKY3FF6

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/VLKY3FF6KV73LCFPXI2RCLD27T \
  | 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: aad58d94be557fb588afba35112c7afcd5a4686c0e9e54d89268b8bfb2480018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a58f58a9a3441e69ddb8ed2c511563614b3e04a253753ef01aea490ad457616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-17T11:02:00Z",
    "title_canon_sha256": "e5f5319f8a8f93401ff576cfda9234372d1a220270593a8081719fe3fb410b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.11037",
    "kind": "arxiv",
    "version": 2
  }
}