Pith Number

pith:ALVLFONA

pith:2012:ALVLFONA2Q6KCOSUMYNQTLOPND

not attested not anchored not stored refs pending

Curve Classes on Rationally Connected Varieties

Hong R. Zong

arxiv:1207.0575 v5 · 2012-07-03 · 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{ALVLFONA2Q6KCOSUMYNQTLOPND}

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	2026-05-18T02:26:45.718056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02eab2b9a0d43ca13a54661b09adcf68d1c8668a42b2c7366c8de8a44eff28ae

Aliases

arxiv: 1207.0575 · arxiv_version: 1207.0575v5 · doi: 10.48550/arxiv.1207.0575 · pith_short_12: ALVLFONA2Q6K · pith_short_16: ALVLFONA2Q6KCOSU · pith_short_8: ALVLFONA

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/ALVLFONA2Q6KCOSUMYNQTLOPND \
  | 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: 02eab2b9a0d43ca13a54661b09adcf68d1c8668a42b2c7366c8de8a44eff28ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f548e78b9e74bc2993b5aad361de11b00bfc3673d7b3557541e8d043c10b71e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-03T05:50:28Z",
    "title_canon_sha256": "7b4643fb7e57e61f22f4385f9eaac010f8507ceb2ca8fcd7e26c3fca27bf7497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0575",
    "kind": "arxiv",
    "version": 5
  }
}