Pith Number

pith:G7KPZAOU

pith:2008:G7KPZAOUI7ATVODKZD7JQJU5WE

not attested not anchored not stored refs pending

Ample divisors on moduli spaces of weighted pointed rational curves, with applications to log MMP for $\bar{M}_{0,n}$

David Ishii Smyth, Maksym Fedorchuk

arxiv:0810.1677 v1 · 2008-10-09 · 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{G7KPZAOUI7ATVODKZD7JQJU5WE}

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	2026-05-18T04:13:05.888622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d4fc81d447c13ab86ac8fe98269db10f2231cb046d08adae8946e57c49b115

Aliases

arxiv: 0810.1677 · arxiv_version: 0810.1677v1 · doi: 10.48550/arxiv.0810.1677 · pith_short_12: G7KPZAOUI7AT · pith_short_16: G7KPZAOUI7ATVODK · pith_short_8: G7KPZAOU

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/G7KPZAOUI7ATVODKZD7JQJU5WE \
  | 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: 37d4fc81d447c13ab86ac8fe98269db10f2231cb046d08adae8946e57c49b115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd60b5d91e8804d4244bbfa1456a9c3f96431c88cb96cb600d6b84fa17bd189e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-09T18:29:57Z",
    "title_canon_sha256": "caf243ff4c66fd5ed046527e28478531b473f8bb43c3b1bb77970d47b4c908b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1677",
    "kind": "arxiv",
    "version": 1
  }
}