Pith Number

pith:NHXLFSD4

pith:2010:NHXLFSD442BCMBHG7X2UVILPY3

not attested not anchored not stored refs pending

Estimates of sections of determinant line bundles on Moduli spaces of pure sheaves on algebraic surfaces

Yao Yuan

arxiv:1010.1815 v1 · 2010-10-09 · 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{NHXLFSD442BCMBHG7X2UVILPY3}

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	2026-05-18T03:53:05.180652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69eeb2c87ce6822604e6fdf54aa16fc6d7a740bf1e1bfa85f4cd5c489b7f67ca

Aliases

arxiv: 1010.1815 · arxiv_version: 1010.1815v1 · doi: 10.48550/arxiv.1010.1815 · pith_short_12: NHXLFSD442BC · pith_short_16: NHXLFSD442BCMBHG · pith_short_8: NHXLFSD4

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/NHXLFSD442BCMBHG7X2UVILPY3 \
  | 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: 69eeb2c87ce6822604e6fdf54aa16fc6d7a740bf1e1bfa85f4cd5c489b7f67ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83790bdc02730b4942c3566d2af1c8b530efb69c984f804bd291b53f2d17801f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-09T06:39:00Z",
    "title_canon_sha256": "73a5a4d113b381a691471d871354fe69fc709aca47400204d11d29f2401a8629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1815",
    "kind": "arxiv",
    "version": 1
  }
}