Pith Number

pith:IB2X5V6E

pith:2013:IB2X5V6E4ZH34V7DBZT4N5PDRE

not attested not anchored not stored refs pending

A compendium of Lie structures on tensor products

Pasha Zusmanovich

arxiv:1303.3231 v2 · 2013-03-13 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IB2X5V6E4ZH34V7DBZT4N5PDRE}

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	2026-05-18T02:45:21.681906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40757ed7c4e64fbe57e30e67c6f5e38935922a7464083019fa270bd095a4ce7c

Aliases

arxiv: 1303.3231 · arxiv_version: 1303.3231v2 · doi: 10.48550/arxiv.1303.3231 · pith_short_12: IB2X5V6E4ZH3 · pith_short_16: IB2X5V6E4ZH34V7D · pith_short_8: IB2X5V6E

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/IB2X5V6E4ZH34V7DBZT4N5PDRE \
  | 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: 40757ed7c4e64fbe57e30e67c6f5e38935922a7464083019fa270bd095a4ce7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3b1339657385a34b9939014daf6cc92b682de70c02d1c648d7a6fd02c4f981",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-03-13T17:48:05Z",
    "title_canon_sha256": "d4dbcfe5f02bf4ef5136ab73b3ae0a1be54d9ab317243b2daff7d6fc265c418b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3231",
    "kind": "arxiv",
    "version": 2
  }
}