Pith Number

pith:NILWUTCU

pith:2011:NILWUTCUF6BOZ6A4RHH2BVLOSX

not attested not anchored not stored refs pending

A gradient estimate for solutions to parabolic equations with discontinuous coefficients

Gen Nakamura, Jishan Fan, Kyoungsun Kim, Sei Nagayasu

arxiv:1103.0832 v2 · 2011-03-04 · 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{NILWUTCUF6BOZ6A4RHH2BVLOSX}

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	2026-05-18T04:27:16.008849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a176a4c542f82ecf81c89cfa0d56e95fc4443cc490848b0241738170cb1c1e5

Aliases

arxiv: 1103.0832 · arxiv_version: 1103.0832v2 · doi: 10.48550/arxiv.1103.0832 · pith_short_12: NILWUTCUF6BO · pith_short_16: NILWUTCUF6BOZ6A4 · pith_short_8: NILWUTCU

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/NILWUTCUF6BOZ6A4RHH2BVLOSX \
  | 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: 6a176a4c542f82ecf81c89cfa0d56e95fc4443cc490848b0241738170cb1c1e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc84fbe2426d0b06ad6bcf7208dc9e696eb745f2d231a9790aa0834109fd6f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-04T06:43:58Z",
    "title_canon_sha256": "104bd1aca33177c65d5eb009c92651ea3a3b943097e062e237225567e9ee40de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0832",
    "kind": "arxiv",
    "version": 2
  }
}