Pith Number

pith:IPAUXQCV

pith:2010:IPAUXQCVKRE3JMI7ORUYXGTYA2

not attested not anchored not stored refs pending

Compactified moduli spaces of rational curves in projective homogeneous varieties

Jaehyun Hong, Kiryong Chung, Young-Hoon Kiem

arxiv:1010.0068 v2 · 2010-10-01 · 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{IPAUXQCVKRE3JMI7ORUYXGTYA2}

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	2026-05-18T04:25:37.769464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c14bc0555449b4b11f74698b9a7806bf535036e4e741c8f8910f17dd79844d

Aliases

arxiv: 1010.0068 · arxiv_version: 1010.0068v2 · doi: 10.48550/arxiv.1010.0068 · pith_short_12: IPAUXQCVKRE3 · pith_short_16: IPAUXQCVKRE3JMI7 · pith_short_8: IPAUXQCV

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/IPAUXQCVKRE3JMI7ORUYXGTYA2 \
  | 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: 43c14bc0555449b4b11f74698b9a7806bf535036e4e741c8f8910f17dd79844d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0538d0654ac088f8ae512967b979e7530143a3b9e79fedbbd58ea09e52a25051",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-01T05:48:58Z",
    "title_canon_sha256": "a84581d030682c9c6f823e4db485c9ec58656eef7978c9e8c2e0881c95b2d48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0068",
    "kind": "arxiv",
    "version": 2
  }
}