Pith Number

pith:HIKLJPU7

pith:2012:HIKLJPU764NU5IHJ5ONZPKI6Z6

not attested not anchored not stored refs pending

Rational curves on the compactified moduli space of rational curves with marked points

Lev Radzivilovsky, Shachar Carmeli

arxiv:1212.6642 v2 · 2012-12-29 · 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{HIKLJPU764NU5IHJ5ONZPKI6Z6}

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	2026-05-18T03:36:57.822760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a14b4be9ff71b4ea0e9eb9b97a91ecf9122f87a9e484b35e2c909fbd8e61965

Aliases

arxiv: 1212.6642 · arxiv_version: 1212.6642v2 · doi: 10.48550/arxiv.1212.6642 · pith_short_12: HIKLJPU764NU · pith_short_16: HIKLJPU764NU5IHJ · pith_short_8: HIKLJPU7

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/HIKLJPU764NU5IHJ5ONZPKI6Z6 \
  | 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: 3a14b4be9ff71b4ea0e9eb9b97a91ecf9122f87a9e484b35e2c909fbd8e61965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552c8fe683c971425518fa9567fe6a35c7fdd6493273542698dbe7869149dc01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-29T16:07:46Z",
    "title_canon_sha256": "d2abe0fcc74e8c78c21dc4444af28c50ee0cf7bd99ecdacf28ac0982e7d9bd14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6642",
    "kind": "arxiv",
    "version": 2
  }
}