Pith Number

pith:ECYY5IHE

pith:2009:ECYY5IHEISBANP2GQ5AZV6JFOO

not attested not anchored not stored refs pending

Level set methods for finding critical points of mountain pass type

Adrian S. Lewis, C.H. Jeffrey Pang

arxiv:0906.4466 v2 · 2009-06-24 · math.NA · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECYY5IHEISBANP2GQ5AZV6JFOO}

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	2026-05-18T04:20:13.353759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b18ea0e4448206bf4687419af92573b48389a1971a94a7f2967d6a52679e4b

Aliases

arxiv: 0906.4466 · arxiv_version: 0906.4466v2 · doi: 10.48550/arxiv.0906.4466 · pith_short_12: ECYY5IHEISBA · pith_short_16: ECYY5IHEISBANP2G · pith_short_8: ECYY5IHE

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/ECYY5IHEISBANP2GQ5AZV6JFOO \
  | 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: 20b18ea0e4448206bf4687419af92573b48389a1971a94a7f2967d6a52679e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b910238fe1cfebc33d43223b4452c7024bd75bd20bcc31a644d07d65532ca0a6",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-06-24T13:07:44Z",
    "title_canon_sha256": "e89fb49b447d806db736e838411a4c501cccb7435419f8fdbf62c6ffabf9f19e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4466",
    "kind": "arxiv",
    "version": 2
  }
}