Pith Number

pith:ZQ6HUSOV

pith:2013:ZQ6HUSOV5S53ZWGBK5VRQTA4ZF

not attested not anchored not stored refs pending

Lagrangian Curves in Affine Symplectic 4-space

Emilio Musso, Evelyne Hubert (INRIA Sophia Antipolis)

arxiv:1305.3092 v2 · 2013-05-14 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQ6HUSOV5S53ZWGBK5VRQTA4ZF}

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	2026-05-18T03:04:06.512648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3c7a49d5ecbbbcd8c1576b184c1cc94f9fb8d398e5a0424573a013f699cbf0

Aliases

arxiv: 1305.3092 · arxiv_version: 1305.3092v2 · doi: 10.48550/arxiv.1305.3092 · pith_short_12: ZQ6HUSOV5S53 · pith_short_16: ZQ6HUSOV5S53ZWGB · pith_short_8: ZQ6HUSOV

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/ZQ6HUSOV5S53ZWGBK5VRQTA4ZF \
  | 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: cc3c7a49d5ecbbbcd8c1576b184c1cc94f9fb8d398e5a0424573a013f699cbf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e8aba81403760acf65cf09f17a4e0aef36fb9ffaf2d5feff0790eab7555813",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-05-14T10:17:05Z",
    "title_canon_sha256": "220894cbccaa78fd26b089748f702f6daceaed488170c4ac2d79bb0b026e7745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3092",
    "kind": "arxiv",
    "version": 2
  }
}