Pith Number

pith:UKMLSGN4

pith:2011:UKMLSGN4YRR2GPFUDIJAX2Z4VK

not attested not anchored not stored refs pending

GIT Constructions of Log Canonical Models of M_g

Donghoon Hyeon, Jarod Alper

arxiv:1109.2173 v1 · 2011-09-09 · 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{UKMLSGN4YRR2GPFUDIJAX2Z4VK}

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	2026-05-18T04:13:38.367581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a298b919bcc463a33cb41a120beb3caaa2dfb166b04af6b8340ad380c1ba7c31

Aliases

arxiv: 1109.2173 · arxiv_version: 1109.2173v1 · doi: 10.48550/arxiv.1109.2173 · pith_short_12: UKMLSGN4YRR2 · pith_short_16: UKMLSGN4YRR2GPFU · pith_short_8: UKMLSGN4

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/UKMLSGN4YRR2GPFUDIJAX2Z4VK \
  | 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: a298b919bcc463a33cb41a120beb3caaa2dfb166b04af6b8340ad380c1ba7c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40602d7c24dd6315e363e200279d1dfdc4fc80692035ce91caa8fb6933a7a337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-09T23:09:19Z",
    "title_canon_sha256": "e543e305c8f91cef9923ffd254fa8d8155429a2c4f8d4a720e8ffa555eb32c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2173",
    "kind": "arxiv",
    "version": 1
  }
}