Pith Number

pith:AAIFT3JS

pith:2013:AAIFT3JSVGZ4DXLDBP3R66YTNZ

not attested not anchored not stored refs pending

Generalized Clifford-Severi Inequality and the Volume of Irregular Varieties

Miguel A. Barja

arxiv:1303.3045 v3 · 2013-03-12 · 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{AAIFT3JSVGZ4DXLDBP3R66YTNZ}

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	2026-05-18T01:28:15.346925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001059ed32a9b3c1dd630bf71f7b136e51a2d4daa353772d3a17050fcbd5c95e

Aliases

arxiv: 1303.3045 · arxiv_version: 1303.3045v3 · doi: 10.48550/arxiv.1303.3045 · pith_short_12: AAIFT3JSVGZ4 · pith_short_16: AAIFT3JSVGZ4DXLD · pith_short_8: AAIFT3JS

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/AAIFT3JSVGZ4DXLDBP3R66YTNZ \
  | 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: 001059ed32a9b3c1dd630bf71f7b136e51a2d4daa353772d3a17050fcbd5c95e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e387189dd25420fdf6d033c373fe325a6e9db3871963a333e6ac6b6bfb9b0d93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-12T21:55:01Z",
    "title_canon_sha256": "351398e6e228389e32bccb14455acf0ddc0fa4750b68dd091a15d90fe71c7625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3045",
    "kind": "arxiv",
    "version": 3
  }
}