Pith Number

pith:ACXG5MCC

pith:2016:ACXG5MCCDJG4U3E72BVYBAEM3C

not attested not anchored not stored refs pending

Hilbert schemes of lines and conics and automorphism groups of Fano threefolds

Alexander Kuznetsov, Constantin Shramov, Yuri Prokhorov

arxiv:1605.02010 v3 · 2016-05-06 · 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{ACXG5MCCDJG4U3E72BVYBAEM3C}

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	2026-05-18T00:06:43.897993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ae6eb0421a4dca6c9fd06b80808cd88707c234bbda9a69077b12e8a69046bb

Aliases

arxiv: 1605.02010 · arxiv_version: 1605.02010v3 · doi: 10.48550/arxiv.1605.02010 · pith_short_12: ACXG5MCCDJG4 · pith_short_16: ACXG5MCCDJG4U3E7 · pith_short_8: ACXG5MCC

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/ACXG5MCCDJG4U3E72BVYBAEM3C \
  | 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: 00ae6eb0421a4dca6c9fd06b80808cd88707c234bbda9a69077b12e8a69046bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35cc469ee74e299cfd2838353ca26fed047462c196e60b43cc3545b0cc7ff874",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-06T17:37:06Z",
    "title_canon_sha256": "b274c04aba4788821dc3b6bc2826647892b9e27ec0f890a3f3566f35d292eb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02010",
    "kind": "arxiv",
    "version": 3
  }
}