Pith Number

pith:NVKNXUVT

pith:2012:NVKNXUVTLSEHHW63L2ZXZI3RRA

not attested not anchored not stored refs pending

Primal and Shadow functions, Dual and Dual-Shadow functions for a circular crack and a circular 90 degree V-notch with Neumann boundary conditions

Martin Costabel (IRMAR), Monique Dauge (IRMAR), Samuel Shannon, Zohar Yosibash

arxiv:1212.4327 v1 · 2012-12-18 · 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{NVKNXUVTLSEHHW63L2ZXZI3RRA}

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	2026-05-18T03:38:13.286838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d54dbd2b35c8873dbdb5eb37ca3718805d1fc7a2182c0419da6cb1ef71d350b

Aliases

arxiv: 1212.4327 · arxiv_version: 1212.4327v1 · doi: 10.48550/arxiv.1212.4327 · pith_short_12: NVKNXUVTLSEH · pith_short_16: NVKNXUVTLSEHHW63 · pith_short_8: NVKNXUVT

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/NVKNXUVTLSEHHW63L2ZXZI3RRA \
  | 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: 6d54dbd2b35c8873dbdb5eb37ca3718805d1fc7a2182c0419da6cb1ef71d350b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3859a7dda7990a6eb3af5b3f2a1e6dd96c7d0c1f2e16b88786f062120f689fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-18T12:27:54Z",
    "title_canon_sha256": "6e3b88f20587308341611943a6488ed83d48f261a17dc7c64783828c5392df03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4327",
    "kind": "arxiv",
    "version": 1
  }
}