Pith Number

pith:V6OE7HFH

pith:2010:V6OE7HFHMGNCCGK3WZH7PEKSMP

not attested not anchored not stored refs pending

Hypertrees, projections, and moduli of stable rational curves

Ana-Maria Castravet, Jenia Tevelev

arxiv:1004.2553 v2 · 2010-04-15 · 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{V6OE7HFHMGNCCGK3WZH7PEKSMP}

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	2026-05-18T02:24:16.602354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9c4f9ca7619a21195bb64ff7915263f15508247f864e40c2ee7040b1f97cd5

Aliases

arxiv: 1004.2553 · arxiv_version: 1004.2553v2 · doi: 10.48550/arxiv.1004.2553 · pith_short_12: V6OE7HFHMGNC · pith_short_16: V6OE7HFHMGNCCGK3 · pith_short_8: V6OE7HFH

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/V6OE7HFHMGNCCGK3WZH7PEKSMP \
  | 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: af9c4f9ca7619a21195bb64ff7915263f15508247f864e40c2ee7040b1f97cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef96484c1a612e40be8cbe2b40bc744144754159b4401178adc4c0d5538dd6d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-15T05:17:14Z",
    "title_canon_sha256": "44cbdc86421dbea18c3eb2081e6ab72a52590e5e9803dbf6b3ae193b372ba5af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2553",
    "kind": "arxiv",
    "version": 2
  }
}