Pith Number

pith:55B4POUL

pith:2015:55B4POULDCOMCTLBFWO4PP6KT2

not attested not anchored not stored refs pending

Mori geometry meets Cartan geometry: Varieties of minimal rational tangents

Jun-Muk Hwang

arxiv:1501.04720 v1 · 2015-01-20 · math.AG · 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{55B4POULDCOMCTLBFWO4PP6KT2}

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	2026-05-18T02:29:03.015862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef43c7ba8b189cc14d612d9dc7bfca9e8ebee8ccf4e5f7da9fdf52d6c25f249d

Aliases

arxiv: 1501.04720 · arxiv_version: 1501.04720v1 · doi: 10.48550/arxiv.1501.04720 · pith_short_12: 55B4POULDCOM · pith_short_16: 55B4POULDCOMCTLB · pith_short_8: 55B4POUL

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/55B4POULDCOMCTLBFWO4PP6KT2 \
  | 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: ef43c7ba8b189cc14d612d9dc7bfca9e8ebee8ccf4e5f7da9fdf52d6c25f249d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bba1da3314aba129419da52a2c8ddcbddac1b2f05a22ced57134adeb4ab824",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-20T06:28:56Z",
    "title_canon_sha256": "2ef19985aae92293a1ccf1b9b7cbf8cc9220fb329b44a8aba04e945e8389e942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04720",
    "kind": "arxiv",
    "version": 1
  }
}