Pith Number

pith:ELYNA6NI

pith:2015:ELYNA6NI7NHCPFCRFFTNXUUGDY

not attested not anchored not stored refs pending

A fractional Laplace equation: regularity of solutions and Finite Element approximations

Gabriel Acosta, Juan Pablo Borthagaray

arxiv:1507.08970 v3 · 2015-07-31 · 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{ELYNA6NI7NHCPFCRFFTNXUUGDY}

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	2026-05-18T00:53:08.973933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f0d079a8fb4e2794512966dbd2861e076872e9374580c406832c6b3d1478a7

Aliases

arxiv: 1507.08970 · arxiv_version: 1507.08970v3 · doi: 10.48550/arxiv.1507.08970 · pith_short_12: ELYNA6NI7NHC · pith_short_16: ELYNA6NI7NHCPFCR · pith_short_8: ELYNA6NI

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/ELYNA6NI7NHCPFCRFFTNXUUGDY \
  | 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: 22f0d079a8fb4e2794512966dbd2861e076872e9374580c406832c6b3d1478a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647b1d74c29ef38dc37996018f63f7991810918281f3ae0b39df212c8f712e24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-31T18:28:23Z",
    "title_canon_sha256": "50dd701b592d9d6f475b9e6827607aa46b44e86f7d0baae991770510a7fe9e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08970",
    "kind": "arxiv",
    "version": 3
  }
}