Pith Number

pith:P6BUHUAA

pith:2011:P6BUHUAAPYEJJWN5JSR7WYXB4G

not attested not anchored not stored refs pending

Optimal Decay Rates to Conservation Laws with Diffusion-Type Terms of Regularity-gain and Regularity-loss

Changjiang Zhu, Lizhi Ruan, Renjun Duan

arxiv:1104.1271 v1 · 2011-04-07 · 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{P6BUHUAAPYEJJWN5JSR7WYXB4G}

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	2026-05-18T04:24:52.559751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8343d0007e0894d9bd4ca3fb62e1e196abe9f0517b897d5ffb882b4f89cda3

Aliases

arxiv: 1104.1271 · arxiv_version: 1104.1271v1 · doi: 10.48550/arxiv.1104.1271 · pith_short_12: P6BUHUAAPYEJ · pith_short_16: P6BUHUAAPYEJJWN5 · pith_short_8: P6BUHUAA

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/P6BUHUAAPYEJJWN5JSR7WYXB4G \
  | 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: 7f8343d0007e0894d9bd4ca3fb62e1e196abe9f0517b897d5ffb882b4f89cda3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eae6f3e1ddbdec6898d62bb301a65438f83f042b61d82f2f0abf732601493ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-07T08:57:11Z",
    "title_canon_sha256": "19df2346be860b673e7864e8db6d90926fa6bfa2d70363a0f2cc3f344481ad94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1271",
    "kind": "arxiv",
    "version": 1
  }
}