Pith Number

pith:YJNJAFIB

pith:2022:YJNJAFIBX6VO57E7N2G7RNVGLX

not attested not anchored not stored refs pending

Chow groups of surfaces of lines in cubic fourfolds

Daniel Huybrechts

arxiv:2211.12186 v2 · 2022-11-22 · 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{YJNJAFIBX6VO57E7N2G7RNVGLX}

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	2026-05-20T14:03:16.088483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c25a901501bfaaeefc9f6e8df8b6a65de32105a81629cad57c99af2d6b5e3e1b

Aliases

arxiv: 2211.12186 · arxiv_version: 2211.12186v2 · doi: 10.48550/arxiv.2211.12186 · pith_short_12: YJNJAFIBX6VO · pith_short_16: YJNJAFIBX6VO57E7 · pith_short_8: YJNJAFIB

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/YJNJAFIBX6VO57E7N2G7RNVGLX \
  | 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: c25a901501bfaaeefc9f6e8df8b6a65de32105a81629cad57c99af2d6b5e3e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb83c8c153b3db86829117d0b94504e1e59b564280d9b39d166065929cd759c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-11-22T11:25:37Z",
    "title_canon_sha256": "a55ffd830b75665ac2739ebf826dd3e820c33546409b99d01739927403462518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12186",
    "kind": "arxiv",
    "version": 2
  }
}