Pith Number

pith:F6LWX3EE

pith:2008:F6LWX3EENBOYYCLM4P45S3BHPW

not attested not anchored not stored refs pending

Hilbert series and obstructions to asymptotic semistability

Akito Futaki, Hajime Ono, Yuji Sano

arxiv:0811.1315 v4 · 2008-11-09 · math.DG · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6LWX3EENBOYYCLM4P45S3BHPW}

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	2026-05-18T04:15:17.225809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f976bec84685d8c096ce3f9d96c277dabc2a53d69a0b9b2c7f7699544b8a012

Aliases

arxiv: 0811.1315 · arxiv_version: 0811.1315v4 · doi: 10.48550/arxiv.0811.1315 · pith_short_12: F6LWX3EENBOY · pith_short_16: F6LWX3EENBOYYCLM · pith_short_8: F6LWX3EE

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/F6LWX3EENBOYYCLM4P45S3BHPW \
  | 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: 2f976bec84685d8c096ce3f9d96c277dabc2a53d69a0b9b2c7f7699544b8a012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a2de8e2d6842063cf5e59117840ac0ba95710831bd6f073be4de80c5e35584",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-11-09T03:58:17Z",
    "title_canon_sha256": "2908076591472ae8a54ee3796046108ecf33ba21190d4ceadccabd308872ec55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1315",
    "kind": "arxiv",
    "version": 4
  }
}