Pith Number

pith:YCCSROQR

pith:2010:YCCSROQRWM5B5UZ55MJQ6ORAMG

not attested not anchored not stored refs pending

Rationality of rationally connected threefolds admitting non-isomorphic endomorphisms

De-Qi Zhang

arxiv:1011.1705 v1 · 2010-11-08 · 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{YCCSROQRWM5B5UZ55MJQ6ORAMG}

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	2026-05-18T00:05:15.110806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c08528ba11b33a1ed33deb130f3a2061ad064f3f6cfd9fd0614b87ed4a50d730

Aliases

arxiv: 1011.1705 · arxiv_version: 1011.1705v1 · doi: 10.48550/arxiv.1011.1705 · pith_short_12: YCCSROQRWM5B · pith_short_16: YCCSROQRWM5B5UZ5 · pith_short_8: YCCSROQR

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/YCCSROQRWM5B5UZ55MJQ6ORAMG \
  | 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: c08528ba11b33a1ed33deb130f3a2061ad064f3f6cfd9fd0614b87ed4a50d730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85906e6022dad07e05a89198eb14463a40e43abe18443e26e7aef1e551fac6a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-08T03:38:05Z",
    "title_canon_sha256": "3381434d6e88f715c6234e57239d0cdde7b23c106e2cd317b4cfa2661de3424f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1705",
    "kind": "arxiv",
    "version": 1
  }
}