Pith Number

pith:5LXA77HH

pith:2011:5LXA77HHCEYSANII3HKI2SOYG2

not attested not anchored not stored refs pending

Decay of dissipative equations and negative Sobolev spaces

Yan Guo, Yanjin Wang

arxiv:1111.5660 v1 · 2011-11-24 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LXA77HHCEYSANII3HKI2SOYG2}

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	2026-05-18T01:32:01.668733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaee0ffce71131203508d9d48d49d836b41925347342bee0396cf7774893472f

Aliases

arxiv: 1111.5660 · arxiv_version: 1111.5660v1 · doi: 10.48550/arxiv.1111.5660 · pith_short_12: 5LXA77HHCEYS · pith_short_16: 5LXA77HHCEYSANII · pith_short_8: 5LXA77HH

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/5LXA77HHCEYSANII3HKI2SOYG2 \
  | 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: eaee0ffce71131203508d9d48d49d836b41925347342bee0396cf7774893472f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b8d2ef88874c044cb44e39a0e1301392fe9768d11045ed549603bf384d9ab1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-24T00:46:37Z",
    "title_canon_sha256": "a2665f4703b34e3b8d707da37568c5882c8f2c71dee8d6fb3ffded544b9de6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5660",
    "kind": "arxiv",
    "version": 1
  }
}