Pith Number

pith:GWIFYOAK

pith:2006:GWIFYOAKVU24XAHEWDYVNV6RHE

not attested not anchored not stored refs pending

Higher-dimensional analogues of stable curves

Valery Alexeev

arxiv:math/0607682 v1 · 2006-07-26 · 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{GWIFYOAKVU24XAHEWDYVNV6RHE}

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.

Cited by

1 paper in Pith

Stable map quotients (and orbifold log resolutions) of Richardson varieties

Receipt and verification

First computed	2026-07-04T14:56:02.519803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35905c380aad35cb80e4b0f156d7d1390817cfddda23d639aea2725ece0500f1

Aliases

arxiv: math/0607682 · arxiv_version: math/0607682v1 · doi: 10.48550/arxiv.math/0607682 · pith_short_12: GWIFYOAKVU24 · pith_short_16: GWIFYOAKVU24XAHE · pith_short_8: GWIFYOAK

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/GWIFYOAKVU24XAHEWDYVNV6RHE \
  | 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: 35905c380aad35cb80e4b0f156d7d1390817cfddda23d639aea2725ece0500f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0be6a65dbee9a3b56d3ca7d094832fe93ad7b3e5b21f538dfb2e1b92d2afc9d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-07-26T18:02:31Z",
    "title_canon_sha256": "0a9bc214ba83ff9f6398cba19503415d8eda186173b28a50e130bb31e10e614d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607682",
    "kind": "arxiv",
    "version": 1
  }
}