Pith Number

pith:KXGTK74V

pith:2013:KXGTK74VUMXMASILMTMPP3QHP6

not attested not anchored not stored refs pending

Iterated crossed products

Florin Panaite

arxiv:1303.2139 v1 · 2013-03-08 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXGTK74VUMXMASILMTMPP3QHP6}

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	2026-05-18T03:31:19.952659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55cd357f95a32ec0490b64d8f7ee077fa37849aac553c01964b3a3d49a700363

Aliases

arxiv: 1303.2139 · arxiv_version: 1303.2139v1 · doi: 10.48550/arxiv.1303.2139 · pith_short_12: KXGTK74VUMXM · pith_short_16: KXGTK74VUMXMASIL · pith_short_8: KXGTK74V

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/KXGTK74VUMXMASILMTMPP3QHP6 \
  | 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: 55cd357f95a32ec0490b64d8f7ee077fa37849aac553c01964b3a3d49a700363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d94215a0d0b5811000450a3f08e7cd1e9b1065795d3b17dcc832fe7bae7ba8e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-03-08T22:31:35Z",
    "title_canon_sha256": "1bfbc441e8bc6b831156e6ad4872f28f7fdd1b3a35412799c1bd87fbceae946f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2139",
    "kind": "arxiv",
    "version": 1
  }
}