Pith Number

pith:AIUZVPVO

pith:2019:AIUZVPVOPDN5XJZI2X47T2KAG6

not attested not anchored not stored refs pending

Trace operators of the bi-Laplacian and applications

Alexander Haberl, Norbert Heuer, Thomas F\"uhrer

arxiv:1904.07761 v1 · 2019-04-16 · math.NA · 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{AIUZVPVOPDN5XJZI2X47T2KAG6}

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	2026-05-17T23:48:24.302678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02299abeae78dbdba728d5f9f9e940379f677add46cbe0dcd1407d5488d5a66c

Aliases

arxiv: 1904.07761 · arxiv_version: 1904.07761v1 · doi: 10.48550/arxiv.1904.07761 · pith_short_12: AIUZVPVOPDN5 · pith_short_16: AIUZVPVOPDN5XJZI · pith_short_8: AIUZVPVO

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/AIUZVPVOPDN5XJZI2X47T2KAG6 \
  | 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: 02299abeae78dbdba728d5f9f9e940379f677add46cbe0dcd1407d5488d5a66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde7673a02220302af8712fd3aa4b83e92b8dc90548f2fac4949b8940ec1c5cb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-04-16T15:30:55Z",
    "title_canon_sha256": "2ac49239b9b355bbab14427255e38323b38209f360991dc254fdf751b0040224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07761",
    "kind": "arxiv",
    "version": 1
  }
}