Pith Number

pith:43EJGZM4

pith:2016:43EJGZM4EPWMFC3BPOWLHPVAKD

not attested not anchored not stored refs pending

Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics

Alexander Kuznetsov, Evgeny Shinder

arxiv:1612.07193 v2 · 2016-12-21 · 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{43EJGZM4EPWMFC3BPOWLHPVAKD}

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	2026-05-18T00:06:42.136643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c893659c23ecc28b617bacb3bea050fd00d10dfd9f1f6a2bc04454998d820f

Aliases

arxiv: 1612.07193 · arxiv_version: 1612.07193v2 · doi: 10.48550/arxiv.1612.07193 · pith_short_12: 43EJGZM4EPWM · pith_short_16: 43EJGZM4EPWMFC3B · pith_short_8: 43EJGZM4

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/43EJGZM4EPWMFC3BPOWLHPVAKD \
  | 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: e6c893659c23ecc28b617bacb3bea050fd00d10dfd9f1f6a2bc04454998d820f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60ecd5a0cf6e6d63a4636994d6d6eb1e0fa64c45a5a1f5ece54db3bde19d10e",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-21T15:39:35Z",
    "title_canon_sha256": "8b52d03e36bc29afa17980ee24d0f3b24a30d0a4785b199b16c8544350d70668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07193",
    "kind": "arxiv",
    "version": 2
  }
}