Pith Number

pith:7DWH6VE7

pith:2014:7DWH6VE73XDWCMMYQJKLAVJXGM

not attested not anchored not stored refs pending

Noncommutative Cross-Ratios

Vladimir Retakh

arxiv:1401.5770 v2 · 2014-01-22 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DWH6VE73XDWCMMYQJKLAVJXGM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:45:17.824780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ec7f549fddc76131988254b055373309c7e987783a0c9420bcc0845bbba0f3

Aliases

arxiv: 1401.5770 · arxiv_version: 1401.5770v2 · doi: 10.48550/arxiv.1401.5770 · pith_short_12: 7DWH6VE73XDW · pith_short_16: 7DWH6VE73XDWCMMY · pith_short_8: 7DWH6VE7

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/7DWH6VE73XDWCMMYQJKLAVJXGM \
  | 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: f8ec7f549fddc76131988254b055373309c7e987783a0c9420bcc0845bbba0f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f907e14f959d5c3cdfc69537b2e6e7990e1590f30cd7c04d36dcbe2f0f5cf6b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-01-22T20:01:42Z",
    "title_canon_sha256": "0958533fd5db4b283651b6d806fb7fed806e436d30f14b96aaf16d44914c9560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5770",
    "kind": "arxiv",
    "version": 2
  }
}