Pith Number

pith:ERIFDWHU

pith:2012:ERIFDWHU5NZNF5ZBFZUS5367XO

not attested not anchored not stored refs pending

On the regularity of solutions to the equation - \Delta u + b \nabla u = 0

N. Filonov

arxiv:1209.1243 v3 · 2012-09-06 · 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{ERIFDWHU5NZNF5ZBFZUS5367XO}

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	2026-05-18T03:32:05.406702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

245051d8f4eb72d2f7212e692eefdfbbad8a35694bde0e2500b07371dd360fbe

Aliases

arxiv: 1209.1243 · arxiv_version: 1209.1243v3 · doi: 10.48550/arxiv.1209.1243 · pith_short_12: ERIFDWHU5NZN · pith_short_16: ERIFDWHU5NZNF5ZB · pith_short_8: ERIFDWHU

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/ERIFDWHU5NZNF5ZBFZUS5367XO \
  | 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: 245051d8f4eb72d2f7212e692eefdfbbad8a35694bde0e2500b07371dd360fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a23b93db1b7bf63baaf5e5a0fb8b2c598c30a27b54104925afdda4202308ad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-06T09:58:21Z",
    "title_canon_sha256": "5e2680305c241b217766a3fce0045a36f19c44a2a3fcdf63ac052cf3cb34b351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1243",
    "kind": "arxiv",
    "version": 3
  }
}