Pith Number

pith:FLGZGAWO

pith:2013:FLGZGAWO7QKWT5WCQM5LGRVUBK

not attested not anchored not stored refs pending

Weak error in negative Sobolev spaces for the stochastic heat equation

Omar Aboura (SAMM)

arxiv:1304.6999 v1 · 2013-04-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLGZGAWO7QKWT5WCQM5LGRVUBK}

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	2026-05-18T03:27:10.548059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2acd9302cefc1569f6c2833ab346b40a8b48e5ace48eba4f4a47302b6b1a9721

Aliases

arxiv: 1304.6999 · arxiv_version: 1304.6999v1 · doi: 10.48550/arxiv.1304.6999 · pith_short_12: FLGZGAWO7QKW · pith_short_16: FLGZGAWO7QKWT5WC · pith_short_8: FLGZGAWO

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/FLGZGAWO7QKWT5WCQM5LGRVUBK \
  | 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: 2acd9302cefc1569f6c2833ab346b40a8b48e5ace48eba4f4a47302b6b1a9721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf4fd73f03d96f57cff736c002d5bd007c9d04e62d6d5f4423b539c663c0acc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-25T19:58:18Z",
    "title_canon_sha256": "f8638810dd567dc6b71a091399109a141f63893d2d344f82b36f21f2bc305061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6999",
    "kind": "arxiv",
    "version": 1
  }
}