Pith Number

pith:U7NCHQF2

pith:2018:U7NCHQF24FRVZKBZRIEFGQZVK4

not attested not anchored not stored refs pending

A Simple Approach to Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Problems

Mark Ainsworth, Tomas Vejchodsky

arxiv:1812.07972 v1 · 2018-12-19 · 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{U7NCHQF24FRVZKBZRIEFGQZVK4}

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	2026-05-17T23:42:25.531935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7da23c0bae1635ca8398a085343355719f539a7e19cc64ceceda422676e3682

Aliases

arxiv: 1812.07972 · arxiv_version: 1812.07972v1 · doi: 10.48550/arxiv.1812.07972 · pith_short_12: U7NCHQF24FRV · pith_short_16: U7NCHQF24FRVZKBZ · pith_short_8: U7NCHQF2

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/U7NCHQF24FRVZKBZRIEFGQZVK4 \
  | 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: a7da23c0bae1635ca8398a085343355719f539a7e19cc64ceceda422676e3682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4c05454c8393822a00c9fee22ea71ecf273600570020aded31e21f29548c71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-19T14:32:52Z",
    "title_canon_sha256": "3bcb0b017c9fc0d6eca402dccfd2ce42784122c2b6f699650b43696390e49123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07972",
    "kind": "arxiv",
    "version": 1
  }
}