Pith Number

pith:KBLHYCXC

pith:2011:KBLHYCXCTGZQEFUG2KIQLOMKSZ

not attested not anchored not stored refs pending

The final log canonical model of the moduli space of stable curves of genus four

Maksym Fedorchuk

arxiv:1106.5012 v2 · 2011-06-24 · 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{KBLHYCXCTGZQEFUG2KIQLOMKSZ}

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	2026-05-18T04:07:54.002565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50567c0ae299b3021686d29105b98a9656d08002d4398b65c89656b2801642fc

Aliases

arxiv: 1106.5012 · arxiv_version: 1106.5012v2 · doi: 10.48550/arxiv.1106.5012 · pith_short_12: KBLHYCXCTGZQ · pith_short_16: KBLHYCXCTGZQEFUG · pith_short_8: KBLHYCXC

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/KBLHYCXCTGZQEFUG2KIQLOMKSZ \
  | 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: 50567c0ae299b3021686d29105b98a9656d08002d4398b65c89656b2801642fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b28ecc6328fdccaf76b633c302140a20fe4849f7de856799d11548f2d84a89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-24T16:58:42Z",
    "title_canon_sha256": "05b0b363d171f1aa9717ea09c4efcbff42773d18fab0c5e1aa2600e14ccf1f8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5012",
    "kind": "arxiv",
    "version": 2
  }
}