Pith Number

pith:4JVNBR7Z

pith:2018:4JVNBR7ZY3LH5W5VHRWWIPULEL

not attested not anchored not stored refs pending

K-theory and 0-cycles on schemes

Amalendu Krishna, Rahul Gupta

arxiv:1803.00837 v4 · 2018-03-02 · 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{4JVNBR7ZY3LH5W5VHRWWIPULEL}

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	2026-05-17T23:44:22.729196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26ad0c7f9c6d67edbb53c6d643e8b22cacbb505f16e6f72ed7a14862c41450c

Aliases

arxiv: 1803.00837 · arxiv_version: 1803.00837v4 · doi: 10.48550/arxiv.1803.00837 · pith_short_12: 4JVNBR7ZY3LH · pith_short_16: 4JVNBR7ZY3LH5W5V · pith_short_8: 4JVNBR7Z

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/4JVNBR7ZY3LH5W5VHRWWIPULEL \
  | 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: e26ad0c7f9c6d67edbb53c6d643e8b22cacbb505f16e6f72ed7a14862c41450c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c7d98da5684bfd683766fa193f1b9513cefde9e7045093b9f4e2cf36bd5934f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-02T13:10:23Z",
    "title_canon_sha256": "91b8d63c27e8165126fdd9fe32bf14712e3519c9030176dfdc86428a865aa5d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00837",
    "kind": "arxiv",
    "version": 4
  }
}