Pith Number

pith:IXGWB7TO

pith:2018:IXGWB7TODVTYL66SFTX6HTWRSP

not attested not anchored not stored refs pending

Isomorphisms up to bounded torsion between relative $K_0$-groups and Chow groups with modulus

Ryomei Iwasa, Wataru Kai

arxiv:1811.04675 v1 · 2018-11-12 · math.KT · 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{IXGWB7TODVTYL66SFTX6HTWRSP}

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	2026-05-18T00:01:04.382159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45cd60fe6e1d6785fbd22cefe3ced193d8e13ee116156a733d1e24ea83e9ac1f

Aliases

arxiv: 1811.04675 · arxiv_version: 1811.04675v1 · doi: 10.48550/arxiv.1811.04675 · pith_short_12: IXGWB7TODVTY · pith_short_16: IXGWB7TODVTYL66S · pith_short_8: IXGWB7TO

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/IXGWB7TODVTYL66SFTX6HTWRSP \
  | 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: 45cd60fe6e1d6785fbd22cefe3ced193d8e13ee116156a733d1e24ea83e9ac1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71fd66366f441a3ce6e13ae44ee38c4e98c72a0a72c19bf7166a6d3bd125322",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-11-12T11:48:26Z",
    "title_canon_sha256": "aaa9731492050733099beadba1776e014874b495d575be2b4f35300656e060f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04675",
    "kind": "arxiv",
    "version": 1
  }
}