Pith Number

pith:Q7IQ3SA5

pith:2000:Q7IQ3SA5UPVOOFXOW5VH4LHSFV

not attested not anchored not stored refs pending

Kahler geometry of toric manifolds in symplectic coordinates

Miguel Abreu

arxiv:math/0004122 v1 · 2000-04-19 · math.DG · math.AG · math.SG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7IQ3SA5UPVOOFXOW5VH4LHSFV}

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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.

Cited by

2 papers in Pith

On Chen-Teo geometries with cosmological constant

The macroscopic Kaehler metric of Geometric Thermodynamics versus the microscopic one on the Event Manifold: Exact Partition Functions on CV manifolds. Extended Souriau temperatures and spontaneous ma

Receipt and verification

First computed	2026-07-04T14:34:28.020988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d10dc81da3eae716eeb76a7e2cf22d59a033bbf0bb2cf5a91b36525d5797e3

Aliases

arxiv: math/0004122 · arxiv_version: math/0004122v1 · doi: 10.48550/arxiv.math/0004122 · pith_short_12: Q7IQ3SA5UPVO · pith_short_16: Q7IQ3SA5UPVOOFXO · pith_short_8: Q7IQ3SA5

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/Q7IQ3SA5UPVOOFXOW5VH4LHSFV \
  | 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: 87d10dc81da3eae716eeb76a7e2cf22d59a033bbf0bb2cf5a91b36525d5797e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ea1bb38fe1998873d9fc09d248561928bce8c513b3b8635d24a7d8bf365ce6",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2000-04-19T09:15:46Z",
    "title_canon_sha256": "3401f9da05446e6884b15ff0b483b4c6458b045cb2b29e8bb16474711dd07569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004122",
    "kind": "arxiv",
    "version": 1
  }
}