Pith Number

pith:CVZKS7RE

pith:2012:CVZKS7REUBZG7NH6JDTPGBD4HY

not attested not anchored not stored refs pending

Infinitely many positive solutions for nonlinear equations with non-symmetric potential

Juncheng Wei, Weiwei Ao

arxiv:1210.8209 v1 · 2012-10-31 · 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{CVZKS7REUBZG7NH6JDTPGBD4HY}

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	2026-05-18T03:41:55.706999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1572a97e24a0726fb4fe48e6f3047c3e336eb5cf8852d2c5a7f185ee1f508238

Aliases

arxiv: 1210.8209 · arxiv_version: 1210.8209v1 · doi: 10.48550/arxiv.1210.8209 · pith_short_12: CVZKS7REUBZG · pith_short_16: CVZKS7REUBZG7NH6 · pith_short_8: CVZKS7RE

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/CVZKS7REUBZG7NH6JDTPGBD4HY \
  | 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: 1572a97e24a0726fb4fe48e6f3047c3e336eb5cf8852d2c5a7f185ee1f508238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca5f2c6041ebdfe140bd2823ad5d55951e77f49bd59adba486f5f13084c17df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-31T01:41:10Z",
    "title_canon_sha256": "32cbd2f62e55eb63541ae00349757281bb1fa6cf87dd9de8cf33848c3b05f34e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8209",
    "kind": "arxiv",
    "version": 1
  }
}