Pith Number

pith:W3A4PVXX

pith:2017:W3A4PVXXAMEXM7H6WHX4JVBAQW

not attested not anchored not stored refs pending

Renormalized and entropy solutions for the fractional p-Laplacian parabolic equation with L^1 data

Chao Zhang, Kaimin Teng, Shulin Zhou

arxiv:1708.04744 v1 · 2017-08-16 · 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{W3A4PVXXAMEXM7H6WHX4JVBAQW}

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	2026-05-18T00:37:58.035235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c1c7d6f70309767cfeb1efc4d42085b78b2ecedfedc04945b3a262a9045648

Aliases

arxiv: 1708.04744 · arxiv_version: 1708.04744v1 · doi: 10.48550/arxiv.1708.04744 · pith_short_12: W3A4PVXXAMEX · pith_short_16: W3A4PVXXAMEXM7H6 · pith_short_8: W3A4PVXX

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/W3A4PVXXAMEXM7H6WHX4JVBAQW \
  | 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: b6c1c7d6f70309767cfeb1efc4d42085b78b2ecedfedc04945b3a262a9045648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f325dd35862eadddd196f8723b67e826d9f0e03a3177aa0a1b94aad24a8721d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-16T02:13:58Z",
    "title_canon_sha256": "59c27af6a1e1028c0c53d99eea50473980316dac8ce1927b58d83664d08a042b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04744",
    "kind": "arxiv",
    "version": 1
  }
}