Pith Number

pith:HDJE3BZA

pith:2010:HDJE3BZAAD75TL4FBBGHL2XN4H

not attested not anchored not stored refs pending

Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations

Xu Liu, Xu Zhang

arxiv:1011.6105 v1 · 2010-11-28 · math.PR · 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{HDJE3BZAAD75TL4FBBGHL2XN4H}

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	2026-05-18T04:34:36.389331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38d24d872000ffd9af85084c75eaede1f10762034e15133cfd6f027ef6551e0a

Aliases

arxiv: 1011.6105 · arxiv_version: 1011.6105v1 · doi: 10.48550/arxiv.1011.6105 · pith_short_12: HDJE3BZAAD75 · pith_short_16: HDJE3BZAAD75TL4F · pith_short_8: HDJE3BZA

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/HDJE3BZAAD75TL4FBBGHL2XN4H \
  | 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: 38d24d872000ffd9af85084c75eaede1f10762034e15133cfd6f027ef6551e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06cf97f17e5704c0c71ab37182746dd2ad8dd8b55bba244eccdc097eb956c96b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-28T23:36:43Z",
    "title_canon_sha256": "94aeb46e37b4cd9c9c81dbc14e05fc65b33e0d163ff85e1f1628916579063161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6105",
    "kind": "arxiv",
    "version": 1
  }
}