Pith Number

pith:N5MV5SGL

pith:2012:N5MV5SGLJPE6PN4L2MZPHWAC2F

not attested not anchored not stored refs pending

Higher order linear parabolic equations

Filippo Gazzola, Gerassimos Barbatis

arxiv:1212.5099 v1 · 2012-12-20 · 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{N5MV5SGLJPE6PN4L2MZPHWAC2F}

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	2026-05-18T03:38:03.864961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f595ec8cb4bc9e7b78bd332f3d802d175a201784ddc415ec57368e108969b73

Aliases

arxiv: 1212.5099 · arxiv_version: 1212.5099v1 · doi: 10.48550/arxiv.1212.5099 · pith_short_12: N5MV5SGLJPE6 · pith_short_16: N5MV5SGLJPE6PN4L · pith_short_8: N5MV5SGL

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/N5MV5SGLJPE6PN4L2MZPHWAC2F \
  | 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: 6f595ec8cb4bc9e7b78bd332f3d802d175a201784ddc415ec57368e108969b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88a1db3e18dc11f2bdb04f7116dc026c5b619ff87051d3f4cf6394d350b5cf00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-20T15:51:15Z",
    "title_canon_sha256": "2c762f3918a4ba4e7ad2b7f238d9e1aa9b138a76a77c442987dfd23f44c240a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5099",
    "kind": "arxiv",
    "version": 1
  }
}