Pith Number

pith:233PWE2C

pith:2013:233PWE2CFPTTSPMEWYCDDDHLKD

not attested not anchored not stored refs pending

Pullback Attractors of Non-autonomous Stochastic Degenerate Parabolic Equations on Unbounded Domains

Andrew Krause, Bixiang Wang

arxiv:1309.1211 v1 · 2013-09-05 · 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{233PWE2CFPTTSPMEWYCDDDHLKD}

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	2026-05-18T02:41:42.180767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6f6fb13422be7393d84b604318ceb50d159a8f7d6de5b2fe0540fe0f3bfd599

Aliases

arxiv: 1309.1211 · arxiv_version: 1309.1211v1 · doi: 10.48550/arxiv.1309.1211 · pith_short_12: 233PWE2CFPTT · pith_short_16: 233PWE2CFPTTSPME · pith_short_8: 233PWE2C

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/233PWE2CFPTTSPMEWYCDDDHLKD \
  | 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: d6f6fb13422be7393d84b604318ceb50d159a8f7d6de5b2fe0540fe0f3bfd599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36052c774a37d800b3994f5b4958b939a92e71e50a67093644e16280e50fde7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-05T00:21:09Z",
    "title_canon_sha256": "7dc9145674f1059a81bb098177db94dcbb53edbd1c67db220b8f54c4f8523cb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1211",
    "kind": "arxiv",
    "version": 1
  }
}