Pith Number

pith:YBNJRHNQ

pith:2013:YBNJRHNQGWZDWVZAUMGSBE62DY

not attested not anchored not stored refs pending

Codimension 2 cycles on products of projective homogeneous surfaces

Sanghoon Baek

arxiv:1307.0669 v2 · 2013-07-02 · 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{YBNJRHNQGWZDWVZAUMGSBE62DY}

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	2026-05-18T01:27:08.355067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c05a989db035b23b5720a30d2093da1e3d37805a6354c65350d02d968fd79a43

Aliases

arxiv: 1307.0669 · arxiv_version: 1307.0669v2 · doi: 10.48550/arxiv.1307.0669 · pith_short_12: YBNJRHNQGWZD · pith_short_16: YBNJRHNQGWZDWVZA · pith_short_8: YBNJRHNQ

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/YBNJRHNQGWZDWVZAUMGSBE62DY \
  | 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: c05a989db035b23b5720a30d2093da1e3d37805a6354c65350d02d968fd79a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f4b4b5b3dd7a934ef5a2f21d9d7affb74677b9fdca0fb04823d41e59d69cf7",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-02T10:29:28Z",
    "title_canon_sha256": "b68aa8c053360b8072f07f933f139f4941f3286368ec8693b172afa739b0fada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0669",
    "kind": "arxiv",
    "version": 2
  }
}