Pith Number

pith:LTPVY3EL

pith:2018:LTPVY3ELEUT4PL5L5Q3O3N4UYT

not attested not anchored not stored refs pending

High-order stroboscopic averaging methods for highly oscillatory delay problems

Beibei Zhu, J. M. Sanz-Serna, M. P. Calvo

arxiv:1811.12767 v1 · 2018-11-30 · 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{LTPVY3ELEUT4PL5L5Q3O3N4UYT}

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	2026-05-17T23:59:28.528627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cdf5c6c8b2527c7afabec36edb794c4fad520864f05ba5ad12e6b2b56cdc759

Aliases

arxiv: 1811.12767 · arxiv_version: 1811.12767v1 · doi: 10.48550/arxiv.1811.12767 · pith_short_12: LTPVY3ELEUT4 · pith_short_16: LTPVY3ELEUT4PL5L · pith_short_8: LTPVY3EL

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/LTPVY3ELEUT4PL5L5Q3O3N4UYT \
  | 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: 5cdf5c6c8b2527c7afabec36edb794c4fad520864f05ba5ad12e6b2b56cdc759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "184c7c3560068442d195e41e4eeebb095ee0bdf4166f198f616f7e3d84fb932b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-30T12:47:07Z",
    "title_canon_sha256": "3c38b11b3e7056fc8f8e9dd54be5d22640ba1a56d4aa54bca99b2d7c0758788a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12767",
    "kind": "arxiv",
    "version": 1
  }
}