Pith Number

pith:RW7YGH2R

pith:2008:RW7YGH2RNIMFOTQPDQTVSYHQHB

not attested not anchored not stored refs pending

Nef divisors on $\bar{M}_{0,n}$ from GIT

David Swinarski, Valery Alexeev

arxiv:0812.0778 v2 · 2008-12-03 · 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{RW7YGH2RNIMFOTQPDQTVSYHQHB}

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	2026-05-18T04:30:37.099346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbf831f516a18574e0f1c275960f0384b8b9194805401e05331bab22bfa83dd

Aliases

arxiv: 0812.0778 · arxiv_version: 0812.0778v2 · doi: 10.48550/arxiv.0812.0778 · pith_short_12: RW7YGH2RNIMF · pith_short_16: RW7YGH2RNIMFOTQP · pith_short_8: RW7YGH2R

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/RW7YGH2RNIMFOTQPDQTVSYHQHB \
  | 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: 8dbf831f516a18574e0f1c275960f0384b8b9194805401e05331bab22bfa83dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bf21b2901bdf4331142439e5d1ae7fe5a72a7d104b98f0edcc275c8463c68c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-12-03T18:53:16Z",
    "title_canon_sha256": "fe2d50a0f442e3cef32713360a486fa06b98609c2d29e796adac938a14bd5cb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0778",
    "kind": "arxiv",
    "version": 2
  }
}