Pith Number

pith:F24I2QSF

pith:2015:F24I2QSFMDBYWDZTXNZ3VTQ3HM

not attested not anchored not stored refs pending

Computable error estimates for finite element approximations of elliptic partial differential equations with rough stochastic data

Anders Szepessy, Eric Joseph Hall, H\r{a}kon Hoel, Mattias Sandberg, Ra\'ul Tempone

arxiv:1510.02708 v3 · 2015-10-09 · 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{F24I2QSFMDBYWDZTXNZ3VTQ3HM}

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	2026-05-18T00:05:40.064270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb88d424560c38b0f33bb73bace1b3b1a8fdce6f67daf423844b5198c554ed0

Aliases

arxiv: 1510.02708 · arxiv_version: 1510.02708v3 · doi: 10.48550/arxiv.1510.02708 · pith_short_12: F24I2QSFMDBY · pith_short_16: F24I2QSFMDBYWDZT · pith_short_8: F24I2QSF

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/F24I2QSFMDBYWDZTXNZ3VTQ3HM \
  | 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: 2eb88d424560c38b0f33bb73bace1b3b1a8fdce6f67daf423844b5198c554ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad50b312cda27d3ed53eabe13e963bee9af36083c29670e23bb392febc162b1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-09T15:45:03Z",
    "title_canon_sha256": "770b4989b21ca5b4f1483ef7a3e9e3cac5c815e68ca02be1954dce928aeb492b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02708",
    "kind": "arxiv",
    "version": 3
  }
}