Pith Number

pith:UZYPZYR5

pith:2007:UZYPZYR5MH3FDLKIWT7UMUANM6

not attested not anchored not stored refs pending

Automorphism groups and anti-pluricanonical curves

De-Qi Zhang

arxiv:0705.0476 v1 · 2007-05-03 · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZYPZYR5MH3FDLKIWT7UMUANM6}

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	2026-05-18T00:05:15.199788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a670fce23d61f651ad48b4ff46500d67b5274da1c99cbb88082e44674bdc9d72

Aliases

arxiv: 0705.0476 · arxiv_version: 0705.0476v1 · doi: 10.48550/arxiv.0705.0476 · pith_short_12: UZYPZYR5MH3F · pith_short_16: UZYPZYR5MH3FDLKI · pith_short_8: UZYPZYR5

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/UZYPZYR5MH3FDLKIWT7UMUANM6 \
  | 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: a670fce23d61f651ad48b4ff46500d67b5274da1c99cbb88082e44674bdc9d72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17f107a0cda108cc52325224807950c7af97790040b9920161686d8e77b489b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-05-03T14:40:02Z",
    "title_canon_sha256": "08ba6e2fd57cc16bc36e8d407f4325e2ed25d9317b174dee434748c91171b5d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0476",
    "kind": "arxiv",
    "version": 1
  }
}