Pith Number

pith:FY5AM4CS

pith:2017:FY5AM4CSSUU3IN7OALAP26UOUN

not attested not anchored not stored refs pending

Time averaging for nonautonomous/random linear parabolic equations

Janusz Mierczy\'nski, Wenxian Shen

arxiv:1708.06533 v1 · 2017-08-22 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FY5AM4CSSUU3IN7OALAP26UOUN}

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	2026-05-18T00:37:33.228049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e3a0670529529b437ee02c0fd7a8ea3535d5e1f2accb0b6121d94db98eded2d

Aliases

arxiv: 1708.06533 · arxiv_version: 1708.06533v1 · doi: 10.48550/arxiv.1708.06533 · pith_short_12: FY5AM4CSSUU3 · pith_short_16: FY5AM4CSSUU3IN7O · pith_short_8: FY5AM4CS

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/FY5AM4CSSUU3IN7OALAP26UOUN \
  | 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: 2e3a0670529529b437ee02c0fd7a8ea3535d5e1f2accb0b6121d94db98eded2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1481c9f312a5e67d8da0d6fcb875da87fb04bf22b385df3fddf723ff46e40452",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-22T08:24:21Z",
    "title_canon_sha256": "f7701cc61bb0a36bcc6ff0780e6d1fc1a13d312582c1177521375a0897df916c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06533",
    "kind": "arxiv",
    "version": 1
  }
}