Pith Number

pith:IPWMJJWT

pith:2010:IPWMJJWT2ICXGK3ZNDX5UJ7BB3

not attested not anchored not stored refs pending

Moduli stacks of curves with a fixed dual graph

Damiano Fulghesu, Dan Edidin

arxiv:1007.2130 v2 · 2010-07-13 · 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{IPWMJJWT2ICXGK3ZNDX5UJ7BB3}

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	2026-05-18T04:41:16.081593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ecc4a6d3d205732b7968efda27e10eede1be223b8a9f7b5660e8f81992cc7e

Aliases

arxiv: 1007.2130 · arxiv_version: 1007.2130v2 · doi: 10.48550/arxiv.1007.2130 · pith_short_12: IPWMJJWT2ICX · pith_short_16: IPWMJJWT2ICXGK3Z · pith_short_8: IPWMJJWT

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/IPWMJJWT2ICXGK3ZNDX5UJ7BB3 \
  | 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: 43ecc4a6d3d205732b7968efda27e10eede1be223b8a9f7b5660e8f81992cc7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694983a9878ceddc8e490b5c949cb7dd595889f3ae8259dbfcc559d6d2f2ebe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-13T15:54:56Z",
    "title_canon_sha256": "9215661f24736625f949e36a8b5a2832fea570fbe0b122a7d43d3aff3f63f62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2130",
    "kind": "arxiv",
    "version": 2
  }
}