Pith Number

pith:V63KNO7F

pith:2020:V63KNO7FXDKFVA4SOV4NREQ343

not attested not anchored not stored refs pending

On the tensor product of well generated dg categories

Julia Ramos Gonz\'alez, Wendy Lowen

arxiv:2002.09991 v2 · 2020-02-23 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V63KNO7FXDKFVA4SOV4NREQ343}

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	2026-07-05T02:59:52.433339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb6a6bbe5b8d45a83927578d8921be6feaf62946e22086d85e34394503b8d08

Aliases

arxiv: 2002.09991 · arxiv_version: 2002.09991v2 · doi: 10.48550/arxiv.2002.09991 · pith_short_12: V63KNO7FXDKF · pith_short_16: V63KNO7FXDKFVA4S · pith_short_8: V63KNO7F

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/V63KNO7FXDKFVA4SOV4NREQ343 \
  | 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: afb6a6bbe5b8d45a83927578d8921be6feaf62946e22086d85e34394503b8d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ebe692ef2d3de7473de79fc32b6b91488eebf8f53253b6992d319c37d1b676c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-02-23T21:45:06Z",
    "title_canon_sha256": "c56f34fa9d66a2d90f214c9c1e7fda3386750bd68c69724639487cd7d03fc405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.09991",
    "kind": "arxiv",
    "version": 2
  }
}