Pith Number

pith:NYPP3JWZ

pith:2012:NYPP3JWZYZIXL3JE4E3B7E27XB

not attested not anchored not stored refs pending

Multi-Adaptive Galerkin Methods for ODEs II: Implementation and Applications

Anders Logg

arxiv:1205.3157 v1 · 2012-05-12 · 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{NYPP3JWZYZIXL3JE4E3B7E27XB}

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	2026-05-18T03:55:36.746230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e1efda6d9c65175ed24e1361f935fb87736347b90c86b57e80fcc1194c06be2

Aliases

arxiv: 1205.3157 · arxiv_version: 1205.3157v1 · doi: 10.48550/arxiv.1205.3157 · pith_short_12: NYPP3JWZYZIX · pith_short_16: NYPP3JWZYZIXL3JE · pith_short_8: NYPP3JWZ

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/NYPP3JWZYZIXL3JE4E3B7E27XB \
  | 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: 6e1efda6d9c65175ed24e1361f935fb87736347b90c86b57e80fcc1194c06be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4946cf6bc33996c37feeaf06e87a3d9387e88a9380b37728c0ea8285e8128f09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-05-12T08:17:15Z",
    "title_canon_sha256": "38f9509254fe3f165b6c236f2cddd895c1fbf6d9aba6abb2578ce56254754f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3157",
    "kind": "arxiv",
    "version": 1
  }
}