Pith Number

pith:CXDWIC7F

pith:2005:CXDWIC7FZUYDQ35QQNGRQKM5EG

not attested not anchored not stored refs pending

An efficient shooting algorithm for Evans function calculations in large systems

Jeffrey Humpherys, Kevin Zumbrun

arxiv:math/0508020 v1 · 2005-07-31 · 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{CXDWIC7FZUYDQ35QQNGRQKM5EG}

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	2026-05-18T00:42:40.118302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c7640be5cd30386fb0834d18299d21853a37feeb79e0ae0c0c62ea853556e0

Aliases

arxiv: math/0508020 · arxiv_version: math/0508020v1 · doi: 10.48550/arxiv.math/0508020 · pith_short_12: CXDWIC7FZUYD · pith_short_16: CXDWIC7FZUYDQ35Q · pith_short_8: CXDWIC7F

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/CXDWIC7FZUYDQ35QQNGRQKM5EG \
  | 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: 15c7640be5cd30386fb0834d18299d21853a37feeb79e0ae0c0c62ea853556e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "294b2222ae7de561a52523d32cf476399b49b2135d7c139ce3463bd127b1cd08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2005-07-31T18:03:20Z",
    "title_canon_sha256": "7923f6ddeaa9178bae68908549490f95e988e44bf944770018b41afa9c631ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508020",
    "kind": "arxiv",
    "version": 1
  }
}