Pith Number

pith:KPPKB4LA

pith:2013:KPPKB4LABHXN66J2V2IP6IWXWM

not attested not anchored not stored refs pending

Quantitative uniqueness of elliptic equations

Jiuyi Zhu

arxiv:1312.0576 v2 · 2013-12-02 · 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{KPPKB4LABHXN66J2V2IP6IWXWM}

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	2026-05-18T02:30:47.510334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53dea0f16009eedf793aae90ff22d7b335548efe93b3dabbaa043e8c9c0e1cec

Aliases

arxiv: 1312.0576 · arxiv_version: 1312.0576v2 · doi: 10.48550/arxiv.1312.0576 · pith_short_12: KPPKB4LABHXN · pith_short_16: KPPKB4LABHXN66J2 · pith_short_8: KPPKB4LA

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/KPPKB4LABHXN66J2V2IP6IWXWM \
  | 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: 53dea0f16009eedf793aae90ff22d7b335548efe93b3dabbaa043e8c9c0e1cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02282abc984da2be3d01ab384006445d8dc8bc8cc3c45ed0f155adaabdb1a5e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-02T20:22:24Z",
    "title_canon_sha256": "a4f2026ae5fe1a78662e58ef3ad9828bfe3f5e2f147f04db04661f5d4695e303"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0576",
    "kind": "arxiv",
    "version": 2
  }
}