Pith Number

pith:IO77J3DF

pith:2008:IO77J3DFQN2Q6S5DUHT2KF3KTL

not attested not anchored not stored refs pending

Phase Lag Sensitivity Analysis for Numerical Integration

D. S. Vlachos, T. E. Simos, Z. A. Anastassi

arxiv:0807.2939 v1 · 2008-07-18 · math.NA · cs.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{IO77J3DFQN2Q6S5DUHT2KF3KTL}

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	2026-06-03T22:06:08.136723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43bff4ec6583750f4ba3a1e7a5176a9ac419814c82b08de4f8428b64b3f2bc66

Aliases

arxiv: 0807.2939 · arxiv_version: 0807.2939v1 · doi: 10.48550/arxiv.0807.2939 · pith_short_12: IO77J3DFQN2Q · pith_short_16: IO77J3DFQN2Q6S5D · pith_short_8: IO77J3DF

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/IO77J3DFQN2Q6S5DUHT2KF3KTL \
  | 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: 43bff4ec6583750f4ba3a1e7a5176a9ac419814c82b08de4f8428b64b3f2bc66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bc868637c3fd01f0164c27226e301f3df84a67afad2751484e8f15b749cb292",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-07-18T10:17:52Z",
    "title_canon_sha256": "e45fe44d471c677b7af2031181e3a87e3e9b421a5b26ad18faefd7d412fa39d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2939",
    "kind": "arxiv",
    "version": 1
  }
}