Pith Number

pith:JIKNRGDW

pith:2024:JIKNRGDWERSPBJ5USELD5CKK2I

not attested not anchored not stored refs pending

Unitalities and mapping spaces in $A_\infty$-categories

Hiro Lee Tanaka

arxiv:2407.05532 v1 · 2024-07-08 · math.CT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIKNRGDWERSPBJ5USELD5CKK2I}

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

A model structure on the category of A$_\infty$-categories with strict morphisms

Receipt and verification

First computed	2026-07-05T08:41:14.854491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a14d898762464f0a7b491163e894ad2307069b4056d355bc628197bfd66090d

Aliases

arxiv: 2407.05532 · arxiv_version: 2407.05532v1 · doi: 10.48550/arxiv.2407.05532 · pith_short_12: JIKNRGDWERSP · pith_short_16: JIKNRGDWERSPBJ5U · pith_short_8: JIKNRGDW

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/JIKNRGDWERSPBJ5USELD5CKK2I \
  | 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: 4a14d898762464f0a7b491163e894ad2307069b4056d355bc628197bfd66090d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e8131a94d2522a59032f3a6906d4736a9ee2e4fb6d43f26621a9ebd7b50502",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-07-08T00:45:01Z",
    "title_canon_sha256": "1d0d31a7388411b7aa5ff34aeda34f6dd44cedf52f0346998ebbd498b62a1dbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05532",
    "kind": "arxiv",
    "version": 1
  }
}