Pith Number

pith:LPJBPKDY

pith:2012:LPJBPKDYVRM6CUVNSTWL3OKLLH

not attested not anchored not stored refs pending

On hyperbolicity of minimizers for 1D random Lagrangian systems

Alexandre Boritchev, Konstantin Khanin

arxiv:1203.4990 v1 · 2012-03-22 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPJBPKDYVRM6CUVNSTWL3OKLLH}

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	2026-05-18T01:58:04.548230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd217a878ac59e152ad94ecbdb94b59fe7debea584d2a4c24d6be1a6e384c10

Aliases

arxiv: 1203.4990 · arxiv_version: 1203.4990v1 · doi: 10.48550/arxiv.1203.4990 · pith_short_12: LPJBPKDYVRM6 · pith_short_16: LPJBPKDYVRM6CUVN · pith_short_8: LPJBPKDY

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/LPJBPKDYVRM6CUVNSTWL3OKLLH \
  | 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: 5bd217a878ac59e152ad94ecbdb94b59fe7debea584d2a4c24d6be1a6e384c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22cffa524d4d1fe719aac79d4287b4a241b1b242405c1f80b98288d73f6c4c5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-22T13:57:34Z",
    "title_canon_sha256": "7cc0c7fb533907a85cea1d96b3a5fa87098cc7b64052c20fa2b7469a2e78e4b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4990",
    "kind": "arxiv",
    "version": 1
  }
}