Pith Number

pith:KM5FR3XV

pith:2011:KM5FR3XVIV3JGWM5MPGOVQAVI5

not attested not anchored not stored refs pending

Some examples of symplectic rationally connected 4-folds

Zhiyu Tian

arxiv:1112.1369 v2 · 2011-12-06 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KM5FR3XVIV3JGWM5MPGOVQAVI5}

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	2026-05-18T03:48:13.625796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533a58eef5457693599d63cceac015476b4f4c3f1d034e2e9458d20234359aec

Aliases

arxiv: 1112.1369 · arxiv_version: 1112.1369v2 · doi: 10.48550/arxiv.1112.1369 · pith_short_12: KM5FR3XVIV3J · pith_short_16: KM5FR3XVIV3JGWM5 · pith_short_8: KM5FR3XV

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/KM5FR3XVIV3JGWM5MPGOVQAVI5 \
  | 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: 533a58eef5457693599d63cceac015476b4f4c3f1d034e2e9458d20234359aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4da1c84b54146029c80a8874939374a8548034d47c0840414c8ed57d06060916",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-06T18:30:39Z",
    "title_canon_sha256": "b2581013a0495927f95f4002d17bd89a16ef778035e9eedc25b1435c7be5d90e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1369",
    "kind": "arxiv",
    "version": 2
  }
}