Pith Number

pith:LRSUUH2H

pith:2009:LRSUUH2HTGX7EJUFHAKZB2C256

not attested not anchored not stored refs pending

A generalization of Ross-Thomas' slope theory

Yuji Odaka

arxiv:0910.1794 v5 · 2009-10-09 · 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{LRSUUH2HTGX7EJUFHAKZB2C256}

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	2026-05-18T04:24:07.321174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c654a1f4799aff22685381590e85aefae7b87eecff6e73804e58406e930bbeb

Aliases

arxiv: 0910.1794 · arxiv_version: 0910.1794v5 · doi: 10.48550/arxiv.0910.1794 · pith_short_12: LRSUUH2HTGX7 · pith_short_16: LRSUUH2HTGX7EJUF · pith_short_8: LRSUUH2H

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/LRSUUH2HTGX7EJUFHAKZB2C256 \
  | 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: 5c654a1f4799aff22685381590e85aefae7b87eecff6e73804e58406e930bbeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0546b4b46a5e10b78b607a8b4121e1313f19a9a5b87ecf62d52a6b399900a810",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-09T17:03:11Z",
    "title_canon_sha256": "3e03c10eacbd2d053671dae9f3eddaf0f0cde975a5f9ac1bd742ae4986a919b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1794",
    "kind": "arxiv",
    "version": 5
  }
}