Pith Number

pith:K6EDHKSC

pith:2012:K6EDHKSCIDPEUNRSPQZ3VPMEQW

not attested not anchored not stored refs pending

Hyperbolicity and exponential long-time convergence for space-time periodic Hamilton-Jacobi equations

H\'ector S\'anchez-Morgado

arxiv:1205.2039 v3 · 2012-05-09 · math.DS · 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{K6EDHKSCIDPEUNRSPQZ3VPMEQW}

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	2026-05-18T03:53:06.494524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578833aa4240de4a36327c33babd8485a3cbfa77efe9031ccba963cf8037b6b9

Aliases

arxiv: 1205.2039 · arxiv_version: 1205.2039v3 · doi: 10.48550/arxiv.1205.2039 · pith_short_12: K6EDHKSCIDPE · pith_short_16: K6EDHKSCIDPEUNRS · pith_short_8: K6EDHKSC

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/K6EDHKSCIDPEUNRSPQZ3VPMEQW \
  | 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: 578833aa4240de4a36327c33babd8485a3cbfa77efe9031ccba963cf8037b6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4df0fb8275de61e419d9eb10a58c0a2b151d1e64590d8c4f2ef5b78f085688f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-09T17:17:40Z",
    "title_canon_sha256": "5ad61ce7a8f10f9a334641416c6f17b442f89d8e11d6d119863ee118ea2aa5be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2039",
    "kind": "arxiv",
    "version": 3
  }
}