Pith Number

pith:25H7L4EB

pith:2018:25H7L4EBUC4UR3TWUSU4KVMMJ2

not attested not anchored not stored refs pending

Tube representations and twisting of graded categories

Jyotishman Bhowmick, Makoto Yamashita, Narayan Rakshit, Shamindra Ghosh

arxiv:1801.01735 v2 · 2018-01-05 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25H7L4EBUC4UR3TWUSU4KVMMJ2}

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.

Cited by

1 paper in Pith

Categorical Symmetries via Operator Algebras

Receipt and verification

First computed	2026-05-18T00:16:44.425327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74ff5f081a0b948ee76a4a9c5558c4e9b619310d805282581100b7113523d4f

Aliases

arxiv: 1801.01735 · arxiv_version: 1801.01735v2 · doi: 10.48550/arxiv.1801.01735 · pith_short_12: 25H7L4EBUC4U · pith_short_16: 25H7L4EBUC4UR3TW · pith_short_8: 25H7L4EB

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/25H7L4EBUC4UR3TWUSU4KVMMJ2 \
  | 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: d74ff5f081a0b948ee76a4a9c5558c4e9b619310d805282581100b7113523d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0209848737bc3f71aebf40cdccd18569a2f9e25c8f2b8935ad57f6ceda8a6c25",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-01-05T12:17:22Z",
    "title_canon_sha256": "756354d7a2120185ca454f4fca328610769b6d3d81fbe23134b4803d4df33c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01735",
    "kind": "arxiv",
    "version": 2
  }
}