Pith Number

pith:ZFD7TZ27

pith:2011:ZFD7TZ276MODIXXKFUUX4CMLDW

not attested not anchored not stored refs pending

Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions

Douglas N. Arnold, Jay Gopalakrishnan, Richard S. Falk

arxiv:1109.3668 v1 · 2011-09-16 · 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{ZFD7TZ276MODIXXKFUUX4CMLDW}

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	2026-05-18T03:00:59.499072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c947f9e75ff31c345eea2d297e098b1da03c17df045aeb2cab85d8009880bf3b

Aliases

arxiv: 1109.3668 · arxiv_version: 1109.3668v1 · doi: 10.48550/arxiv.1109.3668 · pith_short_12: ZFD7TZ276MOD · pith_short_16: ZFD7TZ276MODIXXK · pith_short_8: ZFD7TZ27

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/ZFD7TZ276MODIXXKFUUX4CMLDW \
  | 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: c947f9e75ff31c345eea2d297e098b1da03c17df045aeb2cab85d8009880bf3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df5e2b0cddcc913c2565ad17f766315409a625b07c51a0d958ea86156c9854c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-16T17:13:03Z",
    "title_canon_sha256": "c4cd4d80c1e135bddebbaadbf55e7c16d31b3bda801496c9dc6b1a86ec48298c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3668",
    "kind": "arxiv",
    "version": 1
  }
}