Pith Number

pith:K4XFU7L5

pith:2012:K4XFU7L5VH4S2UJEAYYZY7OV6D

not attested not anchored not stored refs pending

Torsion Limits and Riemann-Roch Systems for Function Fields and Applications

Chaoping Xing, Ignacio Cascudo, Ronald Cramer

arxiv:1207.2936 v2 · 2012-07-12 · math.AG · cs.CR · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4XFU7L5VH4S2UJEAYYZY7OV6D}

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	2026-05-18T02:53:15.584996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572e5a7d7da9f92d512406319c7dd5f0efd585d309c8153027e2ec80475f26fc

Aliases

arxiv: 1207.2936 · arxiv_version: 1207.2936v2 · doi: 10.48550/arxiv.1207.2936 · pith_short_12: K4XFU7L5VH4S · pith_short_16: K4XFU7L5VH4S2UJE · pith_short_8: K4XFU7L5

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/K4XFU7L5VH4S2UJEAYYZY7OV6D \
  | 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: 572e5a7d7da9f92d512406319c7dd5f0efd585d309c8153027e2ec80475f26fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5557028d0d3258f95c0148c265f63696eeaf4d0bdf36c2549db35401984a7f9",
    "cross_cats_sorted": [
      "cs.CR",
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-12T12:20:14Z",
    "title_canon_sha256": "96265a3b2d2f0e4c40bdb6a730e5e2378ba19f2c6bd6f89df9236d5534266218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2936",
    "kind": "arxiv",
    "version": 2
  }
}