Pith Number

pith:OG3CU7RL

pith:2010:OG3CU7RLVPB7YBRXZNIEVPN2G6

not attested not anchored not stored refs pending

Extremal metrics on toric surfaces

An-Min Li, Bohui Chen, Li Sheng

arxiv:1008.2607 v5 · 2010-08-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OG3CU7RLVPB7YBRXZNIEVPN2G6}

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	2026-05-18T01:32:19.372118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71b62a7e2babc3fc0637cb504abdba378a8faec167c8cc90603723210da72e2f

Aliases

arxiv: 1008.2607 · arxiv_version: 1008.2607v5 · doi: 10.48550/arxiv.1008.2607 · pith_short_12: OG3CU7RLVPB7 · pith_short_16: OG3CU7RLVPB7YBRX · pith_short_8: OG3CU7RL

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/OG3CU7RLVPB7YBRXZNIEVPN2G6 \
  | 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: 71b62a7e2babc3fc0637cb504abdba378a8faec167c8cc90603723210da72e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f749e336879c2a2a9b2edaf639fdce94281ff3f4fbeecf9b1e2dc85d601df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-16T09:26:26Z",
    "title_canon_sha256": "0c8f1f9b51b669707833d972d7cbb21c4be240d132ae681992e6edee6e4bb48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2607",
    "kind": "arxiv",
    "version": 5
  }
}