Pith Number

pith:7HKHLDDF

pith:2014:7HKHLDDFU54DMFTU2XBRASAVBB

not attested not anchored not stored refs pending

Class of the affine line is a zero divisor in the Grothendieck ring

Lev Borisov

arxiv:1412.6194 v3 · 2014-12-19 · 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{7HKHLDDFU54DMFTU2XBRASAVBB}

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	2026-05-18T02:24:28.375708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d4758c65a778361674d5c3104815085d568b845cd6a6dadba480837f23ee41

Aliases

arxiv: 1412.6194 · arxiv_version: 1412.6194v3 · doi: 10.48550/arxiv.1412.6194 · pith_short_12: 7HKHLDDFU54D · pith_short_16: 7HKHLDDFU54DMFTU · pith_short_8: 7HKHLDDF

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/7HKHLDDFU54DMFTU2XBRASAVBB \
  | 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: f9d4758c65a778361674d5c3104815085d568b845cd6a6dadba480837f23ee41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71bf098370d9948b9f32484ae17f3170dde988955efd779e164c832ce174fa01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-19T01:46:36Z",
    "title_canon_sha256": "de7638f463f60a10d042905d82221994a7f5fea9811585c0f3c1dcd99a592c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6194",
    "kind": "arxiv",
    "version": 3
  }
}