Pith Number

pith:5IL53C54

pith:2022:5IL53C54X2KETXCQS4KUFC5B65

not attested not anchored not stored refs pending

Fano foliations with small algebraic ranks

Jie Liu

arxiv:2206.00840 v4 · 2022-06-02 · 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{5IL53C54X2KETXCQS4KUFC5B65}

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	2026-07-05T06:42:56.205768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea17dd8bbcbe9449dc509715428ba1f779dc9a46c2107a945e22974c172276f6

Aliases

arxiv: 2206.00840 · arxiv_version: 2206.00840v4 · doi: 10.48550/arxiv.2206.00840 · pith_short_12: 5IL53C54X2KE · pith_short_16: 5IL53C54X2KETXCQ · pith_short_8: 5IL53C54

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/5IL53C54X2KETXCQS4KUFC5B65 \
  | 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: ea17dd8bbcbe9449dc509715428ba1f779dc9a46c2107a945e22974c172276f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a1a0cdc17db0721bb813ff8f87bcbaeab2c803bd875d237206bf51246e381c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-06-02T02:24:54Z",
    "title_canon_sha256": "8e6c50d027bf7f85697169dbd21ca9736e68fa4e6d2c5f0ac7adfc8c68237e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.00840",
    "kind": "arxiv",
    "version": 4
  }
}