Pith Number

pith:MVB3PKLT

pith:2011:MVB3PKLTOMGVIWRRKQHM3YU37S

not attested not anchored not stored refs pending

Chow groups of moduli spaces of rank 2 vector bundles on curves with determinant of odd degree

Evgeny Mayanskiy

arxiv:1111.2986 v1 · 2011-11-13 · 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{MVB3PKLTOMGVIWRRKQHM3YU37S}

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	2026-05-18T04:08:23.332903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6543b7a973730d545a31540ecde29bfc8555a8188187611ef96947eae2371321

Aliases

arxiv: 1111.2986 · arxiv_version: 1111.2986v1 · doi: 10.48550/arxiv.1111.2986 · pith_short_12: MVB3PKLTOMGV · pith_short_16: MVB3PKLTOMGVIWRR · pith_short_8: MVB3PKLT

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/MVB3PKLTOMGVIWRRKQHM3YU37S \
  | 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: 6543b7a973730d545a31540ecde29bfc8555a8188187611ef96947eae2371321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c59f3a53b5fa3819e3fbfb440d038308cc7fb1f6651280c5d94a948873348ff4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-13T04:11:41Z",
    "title_canon_sha256": "7189c68b6a22b63a289984744de605b36327027bc197b97840c2d6da7e178c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2986",
    "kind": "arxiv",
    "version": 1
  }
}