Pith Number

pith:ZHQEWSII

pith:2016:ZHQEWSIIPR4TWC6I4LXLKDESRX

not attested not anchored not stored refs pending

Oscillation and variation for semigroups associated with Bessel operators

Dongyong Yang, Huoxiong Wu, Jing Zhang

arxiv:1605.01256 v1 · 2016-05-04 · 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{ZHQEWSIIPR4TWC6I4LXLKDESRX}

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	2026-05-18T01:15:37.348340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e04b49087c793b0bc8e2eeb50c928dc765a1665cf0f6973ae8a8d5d4929f6c

Aliases

arxiv: 1605.01256 · arxiv_version: 1605.01256v1 · doi: 10.48550/arxiv.1605.01256 · pith_short_12: ZHQEWSIIPR4T · pith_short_16: ZHQEWSIIPR4TWC6I · pith_short_8: ZHQEWSII

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/ZHQEWSIIPR4TWC6I4LXLKDESRX \
  | 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: c9e04b49087c793b0bc8e2eeb50c928dc765a1665cf0f6973ae8a8d5d4929f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6bcffc74bcec3b2ef830778cfe9ee5f47e2de2d69275653b4b85ba701e5be31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-04T12:51:44Z",
    "title_canon_sha256": "773cf369756b46063907e7b99588d9d7d4dd5a098710f349aa62c049037bc085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01256",
    "kind": "arxiv",
    "version": 1
  }
}