Pith Number

pith:DAE2W3Y2

pith:2019:DAE2W3Y2ARD5EFHQIU3HS4Y7WG

not attested not anchored not stored refs pending

A homotopy theory of coherently commutative monoidal quasi-categories

Amit Sharma

arxiv:1908.05668 v3 · 2019-08-14 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAE2W3Y2ARD5EFHQIU3HS4Y7WG}

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	2026-07-05T00:59:53.615157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1809ab6f1a0447d214f0453679731fb19f9870f64b7d9669dcac1d006ec9d47b

Aliases

arxiv: 1908.05668 · arxiv_version: 1908.05668v3 · doi: 10.48550/arxiv.1908.05668 · pith_short_12: DAE2W3Y2ARD5 · pith_short_16: DAE2W3Y2ARD5EFHQ · pith_short_8: DAE2W3Y2

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/DAE2W3Y2ARD5EFHQIU3HS4Y7WG \
  | 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: 1809ab6f1a0447d214f0453679731fb19f9870f64b7d9669dcac1d006ec9d47b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb71a7aad842e8829f177e7d4654bd8708580a2708b990be0a32e39340c7dfbf",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-14T23:10:54Z",
    "title_canon_sha256": "9c0892e132bcc5194118ea87c35ec6ab784878d1247d214aa02289f040768bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05668",
    "kind": "arxiv",
    "version": 3
  }
}