Pith Number

pith:7VDBEPCK

pith:2008:7VDBEPCKPB3F5PPZXP2JNPSKMR

not attested not anchored not stored refs pending

The H\"older continuity of a class of 3-dimension ultraparabolic equations

Liqun Zhang, Wendong Wang

arxiv:0808.4019 v1 · 2008-08-29 · 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{7VDBEPCKPB3F5PPZXP2JNPSKMR}

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	2026-05-17T23:44:33.463476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd46123c4a78765ebdf9bbf496be4a6463800cf831f4a4b9caba6cd6dfdc0bff

Aliases

arxiv: 0808.4019 · arxiv_version: 0808.4019v1 · doi: 10.48550/arxiv.0808.4019 · pith_short_12: 7VDBEPCKPB3F · pith_short_16: 7VDBEPCKPB3F5PPZ · pith_short_8: 7VDBEPCK

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/7VDBEPCKPB3F5PPZXP2JNPSKMR \
  | 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: fd46123c4a78765ebdf9bbf496be4a6463800cf831f4a4b9caba6cd6dfdc0bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3568467437711007a1f3d9cb8d10d19a4d5e6fa50b5ba3493dbf9d47438979a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-08-29T04:01:43Z",
    "title_canon_sha256": "54d11a0fc4e80aa483b8eafa4c2904a7b391721e2867519eeff6d3ba513be5b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.4019",
    "kind": "arxiv",
    "version": 1
  }
}