Pith Number

pith:DOU5X7UX

pith:2009:DOU5X7UX4VZTITM4NOM2FDO57Q

not attested not anchored not stored refs pending

Stack structures on GIT quotients parametrizing hypersurfaces

Martin G. Gulbrandsen

arxiv:0902.4454 v1 · 2009-02-25 · 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{DOU5X7UX4VZTITM4NOM2FDO57Q}

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	2026-05-18T04:23:33.339659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba9dbfe97e573344d9c6b99a28dddfc071f62cb43569dd03484c84b154b1424

Aliases

arxiv: 0902.4454 · arxiv_version: 0902.4454v1 · doi: 10.48550/arxiv.0902.4454 · pith_short_12: DOU5X7UX4VZT · pith_short_16: DOU5X7UX4VZTITM4 · pith_short_8: DOU5X7UX

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/DOU5X7UX4VZTITM4NOM2FDO57Q \
  | 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: 1ba9dbfe97e573344d9c6b99a28dddfc071f62cb43569dd03484c84b154b1424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29645557f00186d16d3149b9910432163eef3e9564f58bfbba551cc12bd1e94c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-25T20:01:35Z",
    "title_canon_sha256": "23945c0d866716e0edb8ff3d7ba11b871c116aa1b9a1ab8bc60feed8a5b321c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4454",
    "kind": "arxiv",
    "version": 1
  }
}