Pith Number

pith:B3YA2ZNI

pith:2015:B3YA2ZNINLZWTJNSEEICXYJCYB

not attested not anchored not stored refs pending

Jump and variational inequalities for rough operators

Guixiang Hong, Honghai Liu, Yong Ding

arxiv:1508.03872 v1 · 2015-08-16 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3YA2ZNINLZWTJNSEEICXYJCYB}

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	2026-05-18T01:35:15.003588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef00d65a86af369a5b221102be122c052796c3ba47f57b7741de7969a02bf5c

Aliases

arxiv: 1508.03872 · arxiv_version: 1508.03872v1 · doi: 10.48550/arxiv.1508.03872 · pith_short_12: B3YA2ZNINLZW · pith_short_16: B3YA2ZNINLZWTJNS · pith_short_8: B3YA2ZNI

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/B3YA2ZNINLZWTJNSEEICXYJCYB \
  | 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: 0ef00d65a86af369a5b221102be122c052796c3ba47f57b7741de7969a02bf5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "723f2fc2f3cfabe43ff9aaec05bec5b90967d6007119fb809373fa13e184aaca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-16T21:57:06Z",
    "title_canon_sha256": "0a19d93c4426425fad6fc0740e2c4e87f48750dcd0ad63d6bdfe7a43b91fcbdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03872",
    "kind": "arxiv",
    "version": 1
  }
}