Pith Number

pith:UECKVUWU

pith:2019:UECKVUWUUBERBAVA33PEZQ3C7Z

not attested not anchored not stored refs pending

Global regularity of optimal mappings in non-convex domains

Jiakun Liu, Shibing Chen, Xu-Jia Wang

arxiv:1901.10215 v1 · 2019-01-29 · 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{UECKVUWUUBERBAVA33PEZQ3C7Z}

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	2026-05-17T23:55:15.831017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a104aad2d4a0491082a0dede4cc362fe5b4a40a9e3e5ddc983c6b05729e6fa04

Aliases

arxiv: 1901.10215 · arxiv_version: 1901.10215v1 · doi: 10.48550/arxiv.1901.10215 · pith_short_12: UECKVUWUUBER · pith_short_16: UECKVUWUUBERBAVA · pith_short_8: UECKVUWU

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/UECKVUWUUBERBAVA33PEZQ3C7Z \
  | 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: a104aad2d4a0491082a0dede4cc362fe5b4a40a9e3e5ddc983c6b05729e6fa04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad597de24232edefa25eaf301fa59222eddebdadd9bd1b71fd64e6eb94ccbf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-29T10:50:45Z",
    "title_canon_sha256": "86a227a9315c7b3703853da0034fef0b4403c40866051f7cb3fae61e4c879da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10215",
    "kind": "arxiv",
    "version": 1
  }
}