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Pith Number

pith:VGSLVPDV

pith:1997:VGSLVPDV5NVGPAHHAAHPONPLJS
not attested not anchored not stored refs pending

Jacobi vector fields of integrable geodesic flows

Institute of Mathematics, P.J. Topalov (BAS, Sofia), V.S. Matveev (Bremen University)

arxiv:dg-ga/9712017 v1 · 1997-12-23 · dg-ga · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VGSLVPDV5NVGPAHHAAHPONPLJS}

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 2026-05-18T04:15:05.699242Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9a4babc75eb6a6780e7000ef735eb4c803e3eba22295ad79c07fc183d384fc1

Aliases

arxiv: dg-ga/9712017 · arxiv_version: dg-ga/9712017v1 · doi: 10.48550/arxiv.dg-ga/9712017 · pith_short_12: VGSLVPDV5NVG · pith_short_16: VGSLVPDV5NVGPAHH · pith_short_8: VGSLVPDV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VGSLVPDV5NVGPAHHAAHPONPLJS \
  | 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: a9a4babc75eb6a6780e7000ef735eb4c803e3eba22295ad79c07fc183d384fc1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "056f21f8d65bdd1f1d6bdc512c3fcd3113a7c2a5a38536799a1b0ebe41f8b171",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "dg-ga",
    "submitted_at": "1997-12-23T16:01:12Z",
    "title_canon_sha256": "938bcf4dfb823f43c69f745f3983c5a38b3a4164fa2c174ce85cec76fd4eb89b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "dg-ga/9712017",
    "kind": "arxiv",
    "version": 1
  }
}