Pith Number

pith:ND3TPODO

pith:2017:ND3TPODORB3OP4WNTTB3I35QCG

not attested not anchored not stored refs pending

Liouville Type Theorem for Some Nonlocal Elliptic Equations

Xiaohui Yu

arxiv:1706.03467 v1 · 2017-06-12 · 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{ND3TPODORB3OP4WNTTB3I35QCG}

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	2026-05-18T00:42:35.636344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f737b86e8876e7f2cd9cc3b46fb0119359a66476a0f4a4bf5cb768053df3f3

Aliases

arxiv: 1706.03467 · arxiv_version: 1706.03467v1 · doi: 10.48550/arxiv.1706.03467 · pith_short_12: ND3TPODORB3O · pith_short_16: ND3TPODORB3OP4WN · pith_short_8: ND3TPODO

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/ND3TPODORB3OP4WNTTB3I35QCG \
  | 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: 68f737b86e8876e7f2cd9cc3b46fb0119359a66476a0f4a4bf5cb768053df3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472a289be626cbcfc6f54898f1fa0b4ab96e933398357958208d91c88ba4f8de",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-12T05:03:38Z",
    "title_canon_sha256": "edfbacaa67614cab70e96c3c5bd2e8ab5ce0a67b59b2e113cad84afbafcad19b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03467",
    "kind": "arxiv",
    "version": 1
  }
}