Pith Number

pith:XC5YKDKO

pith:2010:XC5YKDKORQJLSDTKXLPLYYPZSX

not attested not anchored not stored refs pending

Algebro-geometric semistability of polarized toric manifolds

Hajime Ono

arxiv:1009.0087 v1 · 2010-09-01 · math.AG · math.CO · 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{XC5YKDKORQJLSDTKXLPLYYPZSX}

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	2026-05-18T04:41:35.571372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8bb850d4e8c12b90e6abadebc61f995c786a91eafeacb5190680fbab2c18482

Aliases

arxiv: 1009.0087 · arxiv_version: 1009.0087v1 · doi: 10.48550/arxiv.1009.0087 · pith_short_12: XC5YKDKORQJL · pith_short_16: XC5YKDKORQJLSDTK · pith_short_8: XC5YKDKO

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/XC5YKDKORQJLSDTKXLPLYYPZSX \
  | 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: b8bb850d4e8c12b90e6abadebc61f995c786a91eafeacb5190680fbab2c18482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a22f004826999544b0e0c658daf6da42e80763af2b1e12ac2282ae84bc8e1a",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-01T04:20:53Z",
    "title_canon_sha256": "d19d187cfa53a914924c48f91df1226edcf78e559570e877312a6217be59131d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0087",
    "kind": "arxiv",
    "version": 1
  }
}