Pith Number

pith:G2JFKHPX

pith:2016:G2JFKHPXR5YEQJZL3AJPL4CTOU

not attested not anchored not stored refs pending

Torsion zero cycles with modulus on affine varieties

Federico Binda

arxiv:1604.06294 v2 · 2016-04-21 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2JFKHPXR5YEQJZL3AJPL4CTOU}

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	2026-05-18T00:48:32.956499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3692551df78f7048272bd812f5f05375324c51a3c29863e9dcaa583d974765b8

Aliases

arxiv: 1604.06294 · arxiv_version: 1604.06294v2 · doi: 10.48550/arxiv.1604.06294 · pith_short_12: G2JFKHPXR5YE · pith_short_16: G2JFKHPXR5YEQJZL · pith_short_8: G2JFKHPX

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/G2JFKHPXR5YEQJZL3AJPL4CTOU \
  | 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: 3692551df78f7048272bd812f5f05375324c51a3c29863e9dcaa583d974765b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68472153280962ef0b2dc58e9334b1a0e08de81a0aa782287baf7883bc40f615",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-21T13:23:15Z",
    "title_canon_sha256": "aabd3e25bfff8e56601b6902a4621b170b4bfb93318f6a8a3f4c866f27fb53d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06294",
    "kind": "arxiv",
    "version": 2
  }
}