Pith Number

pith:YMA2MTRL

pith:2009:YMA2MTRLG7MYRG4IGYQIXI5CEX

not attested not anchored not stored refs pending

Symmetry of a symplectic toric manifold

Mikiya Masuda

arxiv:0906.4479 v1 · 2009-06-24 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMA2MTRLG7MYRG4IGYQIXI5CEX}

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	2026-05-18T04:33:49.950489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c301a64e2b37d9889b8836208ba3a225e3253d3dcd0a98a3d4e865e4af4612f0

Aliases

arxiv: 0906.4479 · arxiv_version: 0906.4479v1 · doi: 10.48550/arxiv.0906.4479 · pith_short_12: YMA2MTRLG7MY · pith_short_16: YMA2MTRLG7MYRG4I · pith_short_8: YMA2MTRL

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/YMA2MTRLG7MYRG4IGYQIXI5CEX \
  | 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: c301a64e2b37d9889b8836208ba3a225e3253d3dcd0a98a3d4e865e4af4612f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be0f834c5ac9af685e2157743aecbc2377390a4df71a942ed24757b4c70df67",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-06-24T14:10:46Z",
    "title_canon_sha256": "88446aa09683593ae2a27fb7ea90a6dbff63c802d10ec92f46170333fb9d2fe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4479",
    "kind": "arxiv",
    "version": 1
  }
}