Pith Number

pith:LYRZEWP4

pith:2011:LYRZEWP4VDF2MTOLD52HOSYXUH

not attested not anchored not stored refs pending

Some generic properties of non degeneracy for critical points of functionals and applications

Anna Maria Micheletti, Marco Ghimenti

arxiv:1106.0462 v1 · 2011-06-02 · 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{LYRZEWP4VDF2MTOLD52HOSYXUH}

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	2026-05-18T04:20:50.315209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e239259fca8cba64dcb1f74774b17a1de44c2ade41533ac7e3c214a8f8b5926

Aliases

arxiv: 1106.0462 · arxiv_version: 1106.0462v1 · doi: 10.48550/arxiv.1106.0462 · pith_short_12: LYRZEWP4VDF2 · pith_short_16: LYRZEWP4VDF2MTOL · pith_short_8: LYRZEWP4

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/LYRZEWP4VDF2MTOLD52HOSYXUH \
  | 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: 5e239259fca8cba64dcb1f74774b17a1de44c2ade41533ac7e3c214a8f8b5926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469160f8ff733ee0aef145257901c640341d223b1e1415930dda3a940911056a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-02T16:18:59Z",
    "title_canon_sha256": "bb461c93638716b07e0ae0766b44024bcee895c66821c8a2d88770f1bcab2d54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0462",
    "kind": "arxiv",
    "version": 1
  }
}