Pith Number

pith:4NHQBUI6

pith:2009:4NHQBUI6U3H6BIJWBNDLQRD6Z6

not attested not anchored not stored refs pending

Examples of non-symmetric K\"ahler-Einstein toric Fano manifolds

Andreas Paffenholz, Benjamin Nill

arxiv:0905.2054 v2 · 2009-05-13 · 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{4NHQBUI6U3H6BIJWBNDLQRD6Z6}

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	2026-05-18T04:41:16.426457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34f00d11ea6cfe0a1360b46b8447ecfb2420da22b19639b9ce703f7107bb300

Aliases

arxiv: 0905.2054 · arxiv_version: 0905.2054v2 · doi: 10.48550/arxiv.0905.2054 · pith_short_12: 4NHQBUI6U3H6 · pith_short_16: 4NHQBUI6U3H6BIJW · pith_short_8: 4NHQBUI6

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/4NHQBUI6U3H6BIJWBNDLQRD6Z6 \
  | 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: e34f00d11ea6cfe0a1360b46b8447ecfb2420da22b19639b9ce703f7107bb300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e46227ee887f1fa5d2fd7f4866ba101a0bb6c1a945f063c0c43941a6272275",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-13T13:15:41Z",
    "title_canon_sha256": "0ba982aa51678fde2b666949d110b2a743df746cc21e3038ba323f3c66af12d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2054",
    "kind": "arxiv",
    "version": 2
  }
}