Pith Number

pith:JFMYFBKV

pith:2015:JFMYFBKVFOVZZKUCGVVO5JI34M

not attested not anchored not stored refs pending

A rough classification of potentially invertible cubic transformations of the real plane

Ruslan Sharipov

arxiv:1508.04703 v1 · 2015-08-19 · 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{JFMYFBKVFOVZZKUCGVVO5JI34M}

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	2026-05-18T01:35:02.041790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49598285552bab9caa82356aeea51be320a72ca8641c993f20e7df3dd5bba57e

Aliases

arxiv: 1508.04703 · arxiv_version: 1508.04703v1 · doi: 10.48550/arxiv.1508.04703 · pith_short_12: JFMYFBKVFOVZ · pith_short_16: JFMYFBKVFOVZZKUC · pith_short_8: JFMYFBKV

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/JFMYFBKVFOVZZKUCGVVO5JI34M \
  | 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: 49598285552bab9caa82356aeea51be320a72ca8641c993f20e7df3dd5bba57e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f5d338278068a1b1dd6bbe42bb658e0bb17eb8413259daef80b9604b41855d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-19T16:58:06Z",
    "title_canon_sha256": "6c6d86faca076c3488d4acae3b173dcc7a58170a86390c2a3a090c1bca9af1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04703",
    "kind": "arxiv",
    "version": 1
  }
}