Pith Number

pith:NRDY2MGY

pith:2006:NRDY2MGYXRNQ5OZBIRLG3U3T5I

not attested not anchored not stored refs pending

On optimal truncation of divergent series solutions of nonlinear differential systems; Berry smoothing

M. D. Kruskal, O. Costin

arxiv:math/0608410 v1 · 2006-08-16 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRDY2MGYXRNQ5OZBIRLG3U3T5I}

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	2026-05-18T01:38:23.833499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c478d30d8bc5b0ebb2144566dd373ea17cb9d381a8b3631c48f3e61829d0b30

Aliases

arxiv: math/0608410 · arxiv_version: math/0608410v1 · doi: 10.48550/arxiv.math/0608410 · pith_short_12: NRDY2MGYXRNQ · pith_short_16: NRDY2MGYXRNQ5OZB · pith_short_8: NRDY2MGY

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/NRDY2MGYXRNQ5OZBIRLG3U3T5I \
  | 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: 6c478d30d8bc5b0ebb2144566dd373ea17cb9d381a8b3631c48f3e61829d0b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f123aa49f8c0c275609635cc49e419f35c96646d63fdf08315a6f789a2f04c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-08-16T01:54:57Z",
    "title_canon_sha256": "f4405b9d61b1f04611fef51a6aa432813509887873f00e7288b4f704a53a7e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608410",
    "kind": "arxiv",
    "version": 1
  }
}