Pith Number

pith:2UI3D53M

pith:2010:2UI3D53MYYKQEVGZLI6XJNDZ7R

not attested not anchored not stored refs pending

Moduli spaces of weighted stable curves and log canonical models of $\bar{M}_{g,n}$

Maksym Fedorchuk

arxiv:1004.4938 v2 · 2010-04-28 · 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{2UI3D53MYYKQEVGZLI6XJNDZ7R}

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	2026-05-18T04:13:05.809185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d511b1f76cc6150254d95a3d74b479fc5a1ee7fe82f91b564fd63838b8f560ae

Aliases

arxiv: 1004.4938 · arxiv_version: 1004.4938v2 · doi: 10.48550/arxiv.1004.4938 · pith_short_12: 2UI3D53MYYKQ · pith_short_16: 2UI3D53MYYKQEVGZ · pith_short_8: 2UI3D53M

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/2UI3D53MYYKQEVGZLI6XJNDZ7R \
  | 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: d511b1f76cc6150254d95a3d74b479fc5a1ee7fe82f91b564fd63838b8f560ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55f4da0316b34370ede1af6ef13779d12d6a131b277422b7ba9582313e5ee06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-28T01:18:12Z",
    "title_canon_sha256": "6d148d3aa04b420ed2afcde176b4f02cd25c7f60ca27a817082be7a61bce3bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4938",
    "kind": "arxiv",
    "version": 2
  }
}