Pith Number

pith:NVGJ3WVN

pith:2018:NVGJ3WVNW4MPUDNJ6WHEJCG5Q3

not attested not anchored not stored refs pending

On the twisted tensor product of small dg categories

Boris Shoikhet

arxiv:1803.01191 v4 · 2018-03-03 · math.CT · 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{NVGJ3WVNW4MPUDNJ6WHEJCG5Q3}

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	2026-05-18T00:10:59.891948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d4c9ddaadb718fa0da9f58e4488dd86c841c8f1545a028264cc7b87220b9f5d

Aliases

arxiv: 1803.01191 · arxiv_version: 1803.01191v4 · doi: 10.48550/arxiv.1803.01191 · pith_short_12: NVGJ3WVNW4MP · pith_short_16: NVGJ3WVNW4MPUDNJ · pith_short_8: NVGJ3WVN

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/NVGJ3WVNW4MPUDNJ6WHEJCG5Q3 \
  | 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: 6d4c9ddaadb718fa0da9f58e4488dd86c841c8f1545a028264cc7b87220b9f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58ba721dd2361dbcae82994546a230a6314be1e6b93bc1330aa48ef3b5e60bb",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-03-03T15:54:16Z",
    "title_canon_sha256": "5ba07b6724ffbe56cea781b2cf44bb5c1c0f42b49bf4a34af531523945e11c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01191",
    "kind": "arxiv",
    "version": 4
  }
}