Pith Number

pith:HPJHAGD4

pith:2018:HPJHAGD4PZSPX45WOTIXYJMW57

not attested not anchored not stored refs pending

Uniform gradient estimates on manifolds with a boundary and applications

Anton Thalmaier, James Thompson, Li-Juan Cheng

arxiv:1803.08844 v1 · 2018-03-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPJHAGD4PZSPX45WOTIXYJMW57}

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	2026-05-18T00:20:18.408922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd270187c7e64fbf3b674d17c2596effc7ff6c68677132ffeb6e33599a4ffee

Aliases

arxiv: 1803.08844 · arxiv_version: 1803.08844v1 · doi: 10.48550/arxiv.1803.08844 · pith_short_12: HPJHAGD4PZSP · pith_short_16: HPJHAGD4PZSPX45W · pith_short_8: HPJHAGD4

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/HPJHAGD4PZSPX45WOTIXYJMW57 \
  | 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: 3bd270187c7e64fbf3b674d17c2596effc7ff6c68677132ffeb6e33599a4ffee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e28071fd7e7ea52445112e474aaf1e2fba18946c98ae101ed03dcfa6e8b2eda2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-23T15:36:40Z",
    "title_canon_sha256": "2ea966b2cc9b5bb3e1f8f2b10060365cb33efe86034e24261b88d135a224744f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08844",
    "kind": "arxiv",
    "version": 1
  }
}