Pith Number

pith:NDYMTPCM

pith:2014:NDYMTPCMNTUDLT66AJWSKBDVFU

not attested not anchored not stored refs pending

A posteriori error estimates for leap-frog and cosine methods for second order evolution problems

Charalambos Makridakis, Emmanuil H. Georgoulis, Juha M. Virtanen, Omar Lakkis

arxiv:1411.7572 v1 · 2014-11-27 · 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{NDYMTPCMNTUDLT66AJWSKBDVFU}

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	2026-05-18T00:44:28.633416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f0c9bc4c6ce835cfde026d2504752d0308fcd7406d7b91473d1d2706e174bb

Aliases

arxiv: 1411.7572 · arxiv_version: 1411.7572v1 · doi: 10.48550/arxiv.1411.7572 · pith_short_12: NDYMTPCMNTUD · pith_short_16: NDYMTPCMNTUDLT66 · pith_short_8: NDYMTPCM

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/NDYMTPCMNTUDLT66AJWSKBDVFU \
  | 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: 68f0c9bc4c6ce835cfde026d2504752d0308fcd7406d7b91473d1d2706e174bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d0ffe1d988d82729aff91907ce2ae20182f7c132090e5e1348152e6bbf7e5d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-11-27T12:35:37Z",
    "title_canon_sha256": "3c0637c16e6c85c88018144032ad17a13d4af7697adb6bff3cf73172ef5edf9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7572",
    "kind": "arxiv",
    "version": 1
  }
}