Pith Number

pith:W6MULLSI

pith:2019:W6MULLSIMQH636FC4NYJ7RLQK3

not attested not anchored not stored refs pending

The $B_\infty$-structure on the derived endomorphism algebra of the unit in a monoidal category

Michel Van den Bergh, Wendy Lowen

arxiv:1907.06026 v1 · 2019-07-13 · 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{W6MULLSIMQH636FC4NYJ7RLQK3}

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	2026-05-17T23:40:42.644341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79945ae48640fedf8a2e3709fc57056d9c21aa592434c33fe524e98276e530e

Aliases

arxiv: 1907.06026 · arxiv_version: 1907.06026v1 · doi: 10.48550/arxiv.1907.06026 · pith_short_12: W6MULLSIMQH6 · pith_short_16: W6MULLSIMQH636FC · pith_short_8: W6MULLSI

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/W6MULLSIMQH636FC4NYJ7RLQK3 \
  | 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: b79945ae48640fedf8a2e3709fc57056d9c21aa592434c33fe524e98276e530e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f269dfb48f40f7d6fa09a0cc0abb942fd1e686f08a22a01f35807b8063f63b53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-07-13T08:21:36Z",
    "title_canon_sha256": "691be98b698ff092e9b961aae5fb736dc4e603f79f8c99cc399fcf69a8dc36d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06026",
    "kind": "arxiv",
    "version": 1
  }
}