Pith Number

pith:JHKFCQIY

pith:2012:JHKFCQIYBDJZJHJW4HRTZAVYA5

not attested not anchored not stored refs pending

Rational curves on \bar{M}_g and K3 surfaces

Luca Benzo

arxiv:1208.3317 v2 · 2012-08-16 · 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{JHKFCQIYBDJZJHJW4HRTZAVYA5}

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	2026-05-18T02:20:11.030654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d451411808d3949d36e1e33c82b8075eb2145b008bc639c0e7cda01c9ed87d

Aliases

arxiv: 1208.3317 · arxiv_version: 1208.3317v2 · doi: 10.48550/arxiv.1208.3317 · pith_short_12: JHKFCQIYBDJZ · pith_short_16: JHKFCQIYBDJZJHJW · pith_short_8: JHKFCQIY

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/JHKFCQIYBDJZJHJW4HRTZAVYA5 \
  | 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: 49d451411808d3949d36e1e33c82b8075eb2145b008bc639c0e7cda01c9ed87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98cb1ab9a4416654fd0a1fd0fc923a2b8be88468732b8f66772116cc68d500ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-16T08:59:01Z",
    "title_canon_sha256": "ed28b3b4b67eca8c875036f1fa5b042c7e2f016ebb454fed9134e65d226613aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3317",
    "kind": "arxiv",
    "version": 2
  }
}