Pith Number

pith:HBHZTGPZ

pith:2005:HBHZTGPZVYWFG2A4N4EHOJW42G

not attested not anchored not stored refs pending

Fast Runge-Kutta approximation of inhomogeneous parabolic equations

Achim Sch\"adle, Cesar Palencia, Christian Lubich, Mar\'ia L\'opez-Fern\'andez

arxiv:math/0504466 v1 · 2005-04-22 · 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{HBHZTGPZVYWFG2A4N4EHOJW42G}

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	2026-05-18T04:08:35.708115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384f9999f9ae2c53681c6f087726dcd19d5c8c718c701f5c3eb04ba08a95f06b

Aliases

arxiv: math/0504466 · arxiv_version: math/0504466v1 · doi: 10.48550/arxiv.math/0504466 · pith_short_12: HBHZTGPZVYWF · pith_short_16: HBHZTGPZVYWFG2A4 · pith_short_8: HBHZTGPZ

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/HBHZTGPZVYWFG2A4N4EHOJW42G \
  | 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: 384f9999f9ae2c53681c6f087726dcd19d5c8c718c701f5c3eb04ba08a95f06b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54480053307525a1b1ba8a24cf7dd439b5adba6c378257517afdc266dfcbef90",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2005-04-22T14:39:51Z",
    "title_canon_sha256": "237d72e6f095b6e36cbdb2e9cb4ff271572209a882b675b0007323485a34afce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504466",
    "kind": "arxiv",
    "version": 1
  }
}