Pith Number

pith:MKX6HFQB

pith:2019:MKX6HFQB3RRCIG3BBW5PZI7Z5B

not attested not anchored not stored refs pending

Noncommutative cross-ratio and Schwarz derivative

Georgy Sharygin, Vladimir Retakh, Vladimir Rubtsov

arxiv:1905.01366 v3 · 2019-05-03 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKX6HFQB3RRCIG3BBW5PZI7Z5B}

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	2026-05-17T23:45:22.244793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62afe39601dc62241b610dbafca3f9e858cbe74cee9bd87c773dc1d2ef17df4c

Aliases

arxiv: 1905.01366 · arxiv_version: 1905.01366v3 · doi: 10.48550/arxiv.1905.01366 · pith_short_12: MKX6HFQB3RRC · pith_short_16: MKX6HFQB3RRCIG3B · pith_short_8: MKX6HFQB

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/MKX6HFQB3RRCIG3BBW5PZI7Z5B \
  | 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: 62afe39601dc62241b610dbafca3f9e858cbe74cee9bd87c773dc1d2ef17df4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135a9aa02875fc3c80e7e7d42894c00499a80f49711af10f1701b32d10243c7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-05-03T21:17:29Z",
    "title_canon_sha256": "5ab6ff13e1bd166adf3725f751e9a301d351935a1ad93ed882a1b84eee33dc85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01366",
    "kind": "arxiv",
    "version": 3
  }
}