Pith Number

pith:RJJJENJ4

pith:2014:RJJJENJ4VFDWAFCEZ66SLJ4XYR

not attested not anchored not stored refs pending

Crossed actions of matched pairs of groups on tensor categories

Sonia Natale

arxiv:1405.6970 v1 · 2014-05-27 · 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{RJJJENJ4VFDWAFCEZ66SLJ4XYR}

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	2026-05-18T02:51:00.010761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a5292353ca947601444cfbd25a797c45f6a1423e8a6036b3ec8f66833c5f433

Aliases

arxiv: 1405.6970 · arxiv_version: 1405.6970v1 · doi: 10.48550/arxiv.1405.6970 · pith_short_12: RJJJENJ4VFDW · pith_short_16: RJJJENJ4VFDWAFCE · pith_short_8: RJJJENJ4

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/RJJJENJ4VFDWAFCEZ66SLJ4XYR \
  | 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: 8a5292353ca947601444cfbd25a797c45f6a1423e8a6036b3ec8f66833c5f433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79872ca3766cae6ee9684ae2d7fdb7d5cbedba897ea57f0ce92938d1bf368b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-05-27T16:26:13Z",
    "title_canon_sha256": "47f7888520cc077667777055a0da353526275d33045bd07d4d41d7fd524dc745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6970",
    "kind": "arxiv",
    "version": 1
  }
}