Pith Number

pith:LUBZNM5B

pith:2020:LUBZNM5BCMM2BL2QZKGNEWXO32

not attested not anchored not stored refs pending

Restriction estimates in a conical singular space: wave equation

Jiqiang Zheng, Junyong Zhang, Xiaofen Gao

arxiv:2007.05161 v1 · 2020-07-10 · 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{LUBZNM5BCMM2BL2QZKGNEWXO32}

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	2026-07-05T01:17:44.014619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d0396b3a11319a0af50ca8cd25aeedeb0cd9a36b3a9d3e8fa7e2edf368557c5

Aliases

arxiv: 2007.05161 · arxiv_version: 2007.05161v1 · doi: 10.48550/arxiv.2007.05161 · pith_short_12: LUBZNM5BCMM2 · pith_short_16: LUBZNM5BCMM2BL2Q · pith_short_8: LUBZNM5B

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/LUBZNM5BCMM2BL2QZKGNEWXO32 \
  | 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: 5d0396b3a11319a0af50ca8cd25aeedeb0cd9a36b3a9d3e8fa7e2edf368557c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f44d71010cabe4be6f912dd288fa4e3ee262d4eb4c2191d029fb3474ce5313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-07-10T04:41:52Z",
    "title_canon_sha256": "fda4a5cfbeb2b0a8682f9166a087171c056424c84feed018497c8764c4de2e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.05161",
    "kind": "arxiv",
    "version": 1
  }
}