Pith Number

pith:2F2GKP7F

pith:2022:2F2GKP7F22QEFOCQI54HKDFR5F

not attested not anchored not stored refs pending

Normalized tangent bundle, varieties with small codegree and pseudoeffective threshold

Baohua Fu, Jie Liu

arxiv:2206.03770 v1 · 2022-06-08 · 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{2F2GKP7F22QEFOCQI54HKDFR5F}

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	2026-07-05T04:30:13.378138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d174653fe5d6a042b8504778750cb1e9714939a25f3cb96840f10f3b673963ef

Aliases

arxiv: 2206.03770 · arxiv_version: 2206.03770v1 · doi: 10.48550/arxiv.2206.03770 · pith_short_12: 2F2GKP7F22QE · pith_short_16: 2F2GKP7F22QEFOCQ · pith_short_8: 2F2GKP7F

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/2F2GKP7F22QEFOCQI54HKDFR5F \
  | 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: d174653fe5d6a042b8504778750cb1e9714939a25f3cb96840f10f3b673963ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fe483280aae18c850296f44edc0b4fa5594e5e23642c692712edb53c69a4f5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-06-08T09:33:01Z",
    "title_canon_sha256": "f6f8eb823d48a7702326d4f3bb3af113fcce460caed5ada816b9adcd3cf7b18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.03770",
    "kind": "arxiv",
    "version": 1
  }
}