Pith Number

pith:IDYOFMQ7

pith:2011:IDYOFMQ76XRY26YZJZYWJIXEBX

not attested not anchored not stored refs pending

Reproducing Kernels of Sobolev Spaces via a Green Kernel Approach with Differential Operators and Boundary Operators

Gregory E. Fasshauer, Qi Ye

arxiv:1109.5755 v1 · 2011-09-27 · 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{IDYOFMQ76XRY26YZJZYWJIXEBX}

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	2026-05-18T04:12:11.270524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f0e2b21ff5e38d7b194e7164a2e40dd9d8a02903470b865a9ef2decebf79c5

Aliases

arxiv: 1109.5755 · arxiv_version: 1109.5755v1 · doi: 10.48550/arxiv.1109.5755 · pith_short_12: IDYOFMQ76XRY · pith_short_16: IDYOFMQ76XRY26YZ · pith_short_8: IDYOFMQ7

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/IDYOFMQ76XRY26YZJZYWJIXEBX \
  | 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: 40f0e2b21ff5e38d7b194e7164a2e40dd9d8a02903470b865a9ef2decebf79c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea80a476940f3095a6c61642e9efe9a6a4fba160646660d4c1f6dacc1860bcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-27T00:40:29Z",
    "title_canon_sha256": "0774d21682514a4a9fc0e58dda02922b2df204acd77925c91a11264a33455145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5755",
    "kind": "arxiv",
    "version": 1
  }
}