Pith Number

pith:ZUGTRNJ7

pith:2014:ZUGTRNJ7I5FYRGJI6M7ABCNJNF

not attested not anchored not stored refs pending

Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces

Doyoon Kim, Hongjie Dong

arxiv:1403.2459 v1 · 2014-03-11 · 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{ZUGTRNJ7I5FYRGJI6M7ABCNJNF}

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	2026-05-18T02:56:43.271736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0d38b53f474b889928f33e0089a9696b6b0dfca1c0bf9273e7f9ee4510ea1d

Aliases

arxiv: 1403.2459 · arxiv_version: 1403.2459v1 · doi: 10.48550/arxiv.1403.2459 · pith_short_12: ZUGTRNJ7I5FY · pith_short_16: ZUGTRNJ7I5FYRGJI · pith_short_8: ZUGTRNJ7

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/ZUGTRNJ7I5FYRGJI6M7ABCNJNF \
  | 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: cd0d38b53f474b889928f33e0089a9696b6b0dfca1c0bf9273e7f9ee4510ea1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491083e9aa471b2b4e7eb0822964e57d8c48fdda6502c88924cdbcdd9b829ede",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-11T02:07:56Z",
    "title_canon_sha256": "7f4020be7e07052bab31a636c24744a5c9828e5c5443f8f8a7752a6f9cb47041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2459",
    "kind": "arxiv",
    "version": 1
  }
}