Pith Number

pith:6ADLHZLT

pith:2024:6ADLHZLTVECYO4UDGQXBJ6NE2W

not attested not anchored not stored refs pending

Sobolev estimates for parabolic and elliptic equations in divergence form with degenerate coefficients

Hongjie Dong, Junhee Ryu

arxiv:2412.00779 v2 · 2024-12-01 · 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{6ADLHZLTVECYO4UDGQXBJ6NE2W}

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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.

Cited by

1 paper in Pith

Singular-degenerate parabolic systems with the conormal boundary condition on the upper half space

Receipt and verification

First computed	2026-07-05T11:15:18.564400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f006b3e573a905877283342e14f9a4d580b58ae54d46d0a01146b55c0e6792ca

Aliases

arxiv: 2412.00779 · arxiv_version: 2412.00779v2 · doi: 10.48550/arxiv.2412.00779 · pith_short_12: 6ADLHZLTVECY · pith_short_16: 6ADLHZLTVECYO4UD · pith_short_8: 6ADLHZLT

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/6ADLHZLTVECYO4UDGQXBJ6NE2W \
  | 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: f006b3e573a905877283342e14f9a4d580b58ae54d46d0a01146b55c0e6792ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62934e63fedeaafca089e0e1d76a52a8ac64081e3d8f426f500551af7bb0d65a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-01T12:02:54Z",
    "title_canon_sha256": "afd8fc4eb075d83e375b6578232e0eabfaee4557bdcd0244807208c69202e318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00779",
    "kind": "arxiv",
    "version": 2
  }
}