Pith Number

pith:S7XXUDCS

pith:2012:S7XXUDCSNIPQC3KO32IJH6A42H

not attested not anchored not stored refs pending

Interior HW^{1,p} estimates for divergence degenerate elliptic systems in Carnot groups

Maochun Zhu, Marco Bramanti, Pengcheng Niu

arxiv:1203.6474 v2 · 2012-03-29 · 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{S7XXUDCSNIPQC3KO32IJH6A42H}

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	2026-05-18T03:43:18.272002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ef7a0c526a1f016d4ede9093f81cd1d9bfc6b90f16879bd4816146e04244db

Aliases

arxiv: 1203.6474 · arxiv_version: 1203.6474v2 · doi: 10.48550/arxiv.1203.6474 · pith_short_12: S7XXUDCSNIPQ · pith_short_16: S7XXUDCSNIPQC3KO · pith_short_8: S7XXUDCS

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/S7XXUDCSNIPQC3KO32IJH6A42H \
  | 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: 97ef7a0c526a1f016d4ede9093f81cd1d9bfc6b90f16879bd4816146e04244db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b081f082c07243ddb96b30dee75190c111ef8e5d938ee3decf329d4e1ca64f7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-29T09:22:15Z",
    "title_canon_sha256": "a04d6c779565a61605bc0402d001873ce8ae0b807f226d4919f3ae83d4f43ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6474",
    "kind": "arxiv",
    "version": 2
  }
}