Pith Number

pith:E5KMCSSQ

pith:2014:E5KMCSSQ5DQ4LU4VB6UTLCPVQX

not attested not anchored not stored refs pending

Invariants of Varieties and Singularities inspired by Kahler-Einstein problems

Yuji Odaka

arxiv:1411.5487 v1 · 2014-11-20 · 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{E5KMCSSQ5DQ4LU4VB6UTLCPVQX}

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	2026-05-18T02:33:24.538919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2754c14a50e8e1c5d3950fa93589f585f549b79227e3c792b33736752a1a8a3e

Aliases

arxiv: 1411.5487 · arxiv_version: 1411.5487v1 · doi: 10.48550/arxiv.1411.5487 · pith_short_12: E5KMCSSQ5DQ4 · pith_short_16: E5KMCSSQ5DQ4LU4V · pith_short_8: E5KMCSSQ

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/E5KMCSSQ5DQ4LU4VB6UTLCPVQX \
  | 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: 2754c14a50e8e1c5d3950fa93589f585f549b79227e3c792b33736752a1a8a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11fe368f88e23ee770984e39429c025b99430ed0fc517523ebc342eb50d55f1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-20T10:07:57Z",
    "title_canon_sha256": "b03beb0b24e4b29d8b218e3f59283478b29854f5409fbb07b76d8e41f3b60dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5487",
    "kind": "arxiv",
    "version": 1
  }
}