Pith Number

pith:J6FW7AP6

pith:2010:J6FW7AP6KFWCFSSAB35BFT6D26

not attested not anchored not stored refs pending

Weakly proper moduli stacks of curves

David Ishii Smyth, Frederick van der Wyck, Jarod Alper

arxiv:1012.0538 v2 · 2010-12-02 · 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{J6FW7AP6KFWCFSSAB35BFT6D26}

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	2026-05-18T02:23:16.535498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f8b6f81fe516c22ca400efa12cfc3d792d8d9cb652c56b97081a9cee36710f4

Aliases

arxiv: 1012.0538 · arxiv_version: 1012.0538v2 · doi: 10.48550/arxiv.1012.0538 · pith_short_12: J6FW7AP6KFWC · pith_short_16: J6FW7AP6KFWCFSSA · pith_short_8: J6FW7AP6

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/J6FW7AP6KFWCFSSAB35BFT6D26 \
  | 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: 4f8b6f81fe516c22ca400efa12cfc3d792d8d9cb652c56b97081a9cee36710f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85daaf053ae3f7e6a84dd98735743d74d3f590683d28215f5a14649f17e811b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-02T19:00:39Z",
    "title_canon_sha256": "50ec4593bcd371a3b1412e83533f8dc1b3f409f1e56ad9e09a12bc2c26f9362c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0538",
    "kind": "arxiv",
    "version": 2
  }
}