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Pith Number

pith:IZPTE77T

pith:2011:IZPTE77TNAKQXDYWQZ7R3VADOL
not attested not anchored not stored refs pending

Ten ways to Berwald manifolds -- and some steps beyond

D. Cs. Kert\'esz, J. Szilasi, R. L. Lovas

arxiv:1106.2223 v1 · 2011-06-11 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IZPTE77TNAKQXDYWQZ7R3VADOL}

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 2026-05-18T04:20:06.216935Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

465f327ff368150b8f16867f1dd40372c2628553c10182976bdb7ee1d17d0a2e

Aliases

arxiv: 1106.2223 · arxiv_version: 1106.2223v1 · doi: 10.48550/arxiv.1106.2223 · pith_short_12: IZPTE77TNAKQ · pith_short_16: IZPTE77TNAKQXDYW · pith_short_8: IZPTE77T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IZPTE77TNAKQXDYWQZ7R3VADOL \
  | 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: 465f327ff368150b8f16867f1dd40372c2628553c10182976bdb7ee1d17d0a2e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9931f0307890084f4c491cd38a79e0a9dc501ae85044db7868d07e84b199cf66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-11T09:45:40Z",
    "title_canon_sha256": "30dc2c8fffb3915f6da61a530629913630118aa59277933cd97d5f3f11a5f044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2223",
    "kind": "arxiv",
    "version": 1
  }
}