Pith Number

pith:FYABNWRF

pith:2016:FYABNWRFQDICERK6MY5XB56MRM

not attested not anchored not stored refs pending

What Lies Beneath the Surface: Topological-Shape Optimization With the Kernel-Independent Fast Multipole Method

Denis Zorin, Igor Ostanin, Ivan Oseledets, Ivan Tsybulin, Mikhail Litsarev

arxiv:1612.04082 v1 · 2016-12-13 · math.OC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYABNWRFQDICERK6MY5XB56MRM}

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	2026-05-18T00:55:05.607933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0016da2580d022455e663b70f7cc8b101523a0bb7e91f3679ad46f6ad0522a

Aliases

arxiv: 1612.04082 · arxiv_version: 1612.04082v1 · doi: 10.48550/arxiv.1612.04082 · pith_short_12: FYABNWRFQDIC · pith_short_16: FYABNWRFQDICERK6 · pith_short_8: FYABNWRF

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/FYABNWRFQDICERK6MY5XB56MRM \
  | 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: 2e0016da2580d022455e663b70f7cc8b101523a0bb7e91f3679ad46f6ad0522a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1276d0cfb739a694ee27b6c4192c130db3934b485bcee46ad20b72208fe657",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-13T10:13:09Z",
    "title_canon_sha256": "3a89616afb279f7c42864aab9e2f702423c146bc33a9510a1456be7e57cbc889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04082",
    "kind": "arxiv",
    "version": 1
  }
}