Pith Number

pith:7BSIKSR3

pith:2012:7BSIKSR3Q7LNNMX5XTMBG36BWR

not attested not anchored not stored refs pending

Existence of good moduli spaces for A_k-stable curves

David Ishii Smyth, Jarod Alper

arxiv:1206.1209 v1 · 2012-06-06 · 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{7BSIKSR3Q7LNNMX5XTMBG36BWR}

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	2026-05-18T03:54:06.639668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f864854a3b87d6d6b2fdbcd8136fc1b46d65f3103858227e68be690688a8a08b

Aliases

arxiv: 1206.1209 · arxiv_version: 1206.1209v1 · doi: 10.48550/arxiv.1206.1209 · pith_short_12: 7BSIKSR3Q7LN · pith_short_16: 7BSIKSR3Q7LNNMX5 · pith_short_8: 7BSIKSR3

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/7BSIKSR3Q7LNNMX5XTMBG36BWR \
  | 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: f864854a3b87d6d6b2fdbcd8136fc1b46d65f3103858227e68be690688a8a08b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081c706d48f4fca61e6c4f0826cc2000f659b9026aa8007d73c5df4b82881ae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-06T13:10:02Z",
    "title_canon_sha256": "7d04609c9cc0af8a91c26a9a94e84dd897c3aae6c98042f2351c04588848f699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1209",
    "kind": "arxiv",
    "version": 1
  }
}