Pith Number

pith:QNR7EN4J

pith:2013:QNR7EN4JAPWDXB4QTLETBTQYCZ

not attested not anchored not stored refs pending

A properness result for degenerate Quadratic and Symplectic Bundles on a smooth projective curve

Yashonidhi Pandey

arxiv:1304.3682 v4 · 2013-04-12 · 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{QNR7EN4JAPWDXB4QTLETBTQYCZ}

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	2026-05-18T03:12:32.941613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8363f2378903ec3b87909ac930ce181662051f735f37ddd9a0e81956f96ff163

Aliases

arxiv: 1304.3682 · arxiv_version: 1304.3682v4 · doi: 10.48550/arxiv.1304.3682 · pith_short_12: QNR7EN4JAPWD · pith_short_16: QNR7EN4JAPWDXB4Q · pith_short_8: QNR7EN4J

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/QNR7EN4JAPWDXB4QTLETBTQYCZ \
  | 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: 8363f2378903ec3b87909ac930ce181662051f735f37ddd9a0e81956f96ff163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036856f21318af5a19b60f800e640be48bcd069044b7048b1c513614e031ec8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-12T16:55:29Z",
    "title_canon_sha256": "57c1ddcfefa0a3174595da0712dc7db0c373e2fc8c67b01faf0aeabb1885cfdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3682",
    "kind": "arxiv",
    "version": 4
  }
}