Pith Number

pith:EZCTS5CQ

pith:2010:EZCTS5CQ3NHRMFAHQIRA57PQR3

not attested not anchored not stored refs pending

Real points of coarse moduli schemes of vector bundles on a real algebraic curve

Florent Schaffhauser

arxiv:1003.5285 v5 · 2010-03-27 · math.AG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZCTS5CQ3NHRMFAHQIRA57PQR3}

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	2026-05-18T03:19:35.668893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2645397450db4f16140782220efdf08eebec44983df8fc791c058a87f0b6b4fe

Aliases

arxiv: 1003.5285 · arxiv_version: 1003.5285v5 · doi: 10.48550/arxiv.1003.5285 · pith_short_12: EZCTS5CQ3NHR · pith_short_16: EZCTS5CQ3NHRMFAH · pith_short_8: EZCTS5CQ

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/EZCTS5CQ3NHRMFAHQIRA57PQR3 \
  | 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: 2645397450db4f16140782220efdf08eebec44983df8fc791c058a87f0b6b4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f56c04b8f669f11b13e98b05dbaa7ddd0988fd309c8317affac7251714c0572",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-27T10:44:44Z",
    "title_canon_sha256": "c6820638fb26b39ecec9a0e90022281fa896d0a4a3ec270eb1f5a923b4b355dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5285",
    "kind": "arxiv",
    "version": 5
  }
}