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Pith Number

pith:B6I6F3ZM

pith:2011:B6I6F3ZMOWLH3JZTYZCCAPWJA2
not attested not anchored not stored refs pending

From a dynamical system of the knee to natural jet geometrical objects

Mihaela Maria Marin, Mircea Neagu

arxiv:1111.4179 v1 · 2011-11-17 · math.DG · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B6I6F3ZMOWLH3JZTYZCCAPWJA2}

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 2026-05-18T03:07:52.952365Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0f91e2ef2c75967da733c644203ec906abf31efa5e47ad87f1cf84eae44cc351

Aliases

arxiv: 1111.4179 · arxiv_version: 1111.4179v1 · doi: 10.48550/arxiv.1111.4179 · pith_short_12: B6I6F3ZMOWLH · pith_short_16: B6I6F3ZMOWLH3JZT · pith_short_8: B6I6F3ZM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B6I6F3ZMOWLH3JZTYZCCAPWJA2 \
  | 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: 0f91e2ef2c75967da733c644203ec906abf31efa5e47ad87f1cf84eae44cc351
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "230168dde7a2101dcdb764e6b37acb6bfc2238d12eebaa8f4487795670806bfe",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-17T18:58:13Z",
    "title_canon_sha256": "d92aa06385867208ac07051208145fff11265cc31bc9367d9a0d62316c4116b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4179",
    "kind": "arxiv",
    "version": 1
  }
}