Pith Number

pith:P47GG324

pith:2015:P47GG324RLKSBRQ5RIW2GUMVHS

not attested not anchored not stored refs pending

Motivic measures of the moduli spaces of pure sheaves on $\mathbb{P}^2$ with all degrees

Yao Yuan

arxiv:1503.06309 v3 · 2015-03-21 · 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{P47GG324RLKSBRQ5RIW2GUMVHS}

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	2026-05-18T02:19:52.168624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3e636f5c8ad520c61d8a2da351953c976bab43034a4269f3d865c4ff8bdf3f

Aliases

arxiv: 1503.06309 · arxiv_version: 1503.06309v3 · doi: 10.48550/arxiv.1503.06309 · pith_short_12: P47GG324RLKS · pith_short_16: P47GG324RLKSBRQ5 · pith_short_8: P47GG324

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/P47GG324RLKSBRQ5RIW2GUMVHS \
  | 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: 7f3e636f5c8ad520c61d8a2da351953c976bab43034a4269f3d865c4ff8bdf3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e085a25cf190f8f9844778f5fe090369e98a195a322dbb3800fe6ef0feee8665",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-21T15:28:17Z",
    "title_canon_sha256": "5602937239d4c6a96bb69ed2cae59fa3a5583c5fb77f003f6b8620fd96d95990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06309",
    "kind": "arxiv",
    "version": 3
  }
}