Pith Number

pith:ZZCRRSTY

pith:2025:ZZCRRSTYAPLRPUJ5JWR2MFQYDS

not attested not anchored not stored refs pending

Ground state and multiple solutions for modified autonomous fourth-order elliptic equations with Berestycki-Lions type conditions

Fan Wang, Lifeng Yin

arxiv:2508.16010 v1 · 2025-08-22 · 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{ZZCRRSTYAPLRPUJ5JWR2MFQYDS}

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	2026-07-05T11:57:24.621984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4518ca7803d717d13d4da3a616181c9b0f69274c788696574d566eca61fa41

Aliases

arxiv: 2508.16010 · arxiv_version: 2508.16010v1 · doi: 10.48550/arxiv.2508.16010 · pith_short_12: ZZCRRSTYAPLR · pith_short_16: ZZCRRSTYAPLRPUJ5 · pith_short_8: ZZCRRSTY

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/ZZCRRSTYAPLRPUJ5JWR2MFQYDS \
  | 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: ce4518ca7803d717d13d4da3a616181c9b0f69274c788696574d566eca61fa41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb3fc8850fb38a2925b996daa0ad1e655c200c0aee3b25bf60c7d31f61487f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-22T00:06:07Z",
    "title_canon_sha256": "4a37392ca6808579832e0321d83f0e113c7e415b5777fcaa5698013bec93393b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16010",
    "kind": "arxiv",
    "version": 1
  }
}