Pith Number

pith:2U4QCPDV

pith:2010:2U4QCPDVIBBO3SFVHBR7VABEH5

not attested not anchored not stored refs pending

Regularity of the extremal solution for some elliptic problems with advection

Dong Ye, Feng Zhou, Xue Luo

arxiv:1004.3956 v2 · 2010-04-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2U4QCPDVIBBO3SFVHBR7VABEH5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:05:04.245538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d539013c754042edc8b53863fa80243f70f16fe402b3d0c852a8fb2bf78961b3

Aliases

arxiv: 1004.3956 · arxiv_version: 1004.3956v2 · doi: 10.48550/arxiv.1004.3956 · pith_short_12: 2U4QCPDVIBBO · pith_short_16: 2U4QCPDVIBBO3SFV · pith_short_8: 2U4QCPDV

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/2U4QCPDVIBBO3SFVHBR7VABEH5 \
  | 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: d539013c754042edc8b53863fa80243f70f16fe402b3d0c852a8fb2bf78961b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a682fe9964bc3081f6dceef6a7bcbb0c2332d2af520a8b68ef647ce946333acd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-22T16:20:03Z",
    "title_canon_sha256": "3c744b77aecf71c708da11c2429246b3d9f89dc3551f1ed2cdb423fb5a95029a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3956",
    "kind": "arxiv",
    "version": 2
  }
}