Pith Number

pith:YBZ2P4VP

pith:2016:YBZ2P4VPBBBW6HHXDT3V2NCXOI

not attested not anchored not stored refs pending

The class of the affine line is a zero divisor in the Grothendieck ring: via $G_2$-Grassmannians

Atsushi Ito, Kazushi Ueda, Makoto Miura, Shinnosuke Okawa

arxiv:1606.04210 v2 · 2016-06-14 · 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{YBZ2P4VPBBBW6HHXDT3V2NCXOI}

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	2026-05-18T01:11:47.773776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c073a7f2af08436f1cf71cf75d3457720b0add2a3445d4755b73e3c7084529a0

Aliases

arxiv: 1606.04210 · arxiv_version: 1606.04210v2 · doi: 10.48550/arxiv.1606.04210 · pith_short_12: YBZ2P4VPBBBW · pith_short_16: YBZ2P4VPBBBW6HHX · pith_short_8: YBZ2P4VP

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/YBZ2P4VPBBBW6HHXDT3V2NCXOI \
  | 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: c073a7f2af08436f1cf71cf75d3457720b0add2a3445d4755b73e3c7084529a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4272e2b97cde4391ef8465982ffcb79feddc06bf7e54e5d56732437484a68128",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-14T06:28:31Z",
    "title_canon_sha256": "36e5976487007ecd8bcd67fb22d7a809f16d14cdfeab8ee928d1b018af22ef88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04210",
    "kind": "arxiv",
    "version": 2
  }
}