Pith Number

pith:YPVREZQZ

pith:2010:YPVREZQZMW3QDMAV4FUFDBBY3P

not attested not anchored not stored refs pending

An outline of the log minimal model program for the moduli space of curves

Donghoon Hyeon

arxiv:1006.1094 v2 · 2010-06-06 · 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{YPVREZQZMW3QDMAV4FUFDBBY3P}

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	2026-05-18T04:25:37.860562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3eb12661965b701b015e168518438dbc6d835253daa8ba3f242f9c2250e23e2

Aliases

arxiv: 1006.1094 · arxiv_version: 1006.1094v2 · doi: 10.48550/arxiv.1006.1094 · pith_short_12: YPVREZQZMW3Q · pith_short_16: YPVREZQZMW3QDMAV · pith_short_8: YPVREZQZ

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/YPVREZQZMW3QDMAV4FUFDBBY3P \
  | 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: c3eb12661965b701b015e168518438dbc6d835253daa8ba3f242f9c2250e23e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7be7bc2d8ca60524aff10852181d859e53e1cfc748313b128057b89fdd637bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-06T10:37:14Z",
    "title_canon_sha256": "dbfa81276755922d00629cc33cb6bdcbb3faafd64acbc8ca1ffff1b3eb642c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1094",
    "kind": "arxiv",
    "version": 2
  }
}