Pith Number

pith:YECIEKXW

pith:2013:YECIEKXWMZPA73M45TDHCP2NIY

not attested not anchored not stored refs pending

Numerical integration of ordinary differential equations with rapidly oscillatory factors

A. J. Roberts, J. E. Bunder

arxiv:1305.5022 v1 · 2013-05-22 · 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{YECIEKXWMZPA73M45TDHCP2NIY}

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	2026-05-18T03:25:13.751091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c104822af6665e0fed9cecc6713f4d461c4f15a4591bdeb0c609045e7128dc7f

Aliases

arxiv: 1305.5022 · arxiv_version: 1305.5022v1 · doi: 10.48550/arxiv.1305.5022 · pith_short_12: YECIEKXWMZPA · pith_short_16: YECIEKXWMZPA73M4 · pith_short_8: YECIEKXW

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/YECIEKXWMZPA73M45TDHCP2NIY \
  | 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: c104822af6665e0fed9cecc6713f4d461c4f15a4591bdeb0c609045e7128dc7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a82d14dc7b99f18c038be774265b8314b1ec98f829c0e0c415ce7d94b5b5ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-05-22T05:27:51Z",
    "title_canon_sha256": "aaacea9c497e190e0c84f451119399a5668784032aae284e3ebd85e8fad8a2a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5022",
    "kind": "arxiv",
    "version": 1
  }
}