Pith Number

pith:HXFGX2NX

pith:2010:HXFGX2NXQ2ZN3TZELAUFCGIS7Y

not attested not anchored not stored refs pending

New outlook on the Minimal Model Program, II

Alessio Corti, Vladimir Lazi\'c

arxiv:1005.0614 v3 · 2010-05-04 · 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{HXFGX2NXQ2ZN3TZELAUFCGIS7Y}

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	2026-05-18T03:26:23.469867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dca6be9b786b2ddcf245828511912fe2dd800b629d4522f83d09793390fca70

Aliases

arxiv: 1005.0614 · arxiv_version: 1005.0614v3 · doi: 10.48550/arxiv.1005.0614 · pith_short_12: HXFGX2NXQ2ZN · pith_short_16: HXFGX2NXQ2ZN3TZE · pith_short_8: HXFGX2NX

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/HXFGX2NXQ2ZN3TZELAUFCGIS7Y \
  | 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: 3dca6be9b786b2ddcf245828511912fe2dd800b629d4522f83d09793390fca70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e29b8742ab5511410e94e3390d98a3380630861f15d25d7f35de7e287bf934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-04T19:43:49Z",
    "title_canon_sha256": "1839a0d0460bf7d06cb634eb53fe7b637649998dbecbbaf889b727549d6212dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0614",
    "kind": "arxiv",
    "version": 3
  }
}