Pith Number

pith:6IMXK7CB

pith:2019:6IMXK7CBEKUA54CNAWBSYW4DGX

not attested not anchored not stored refs pending

Smash Products for Non-cartesian Internal Prestacks

Liang Ze Wong

arxiv:1907.09666 v1 · 2019-07-23 · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IMXK7CBEKUA54CNAWBSYW4DGX}

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	2026-05-17T23:39:50.468623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f219757c4122a80ef04d05832c5b8335debfdd33c35ee7f635c655860828df32

Aliases

arxiv: 1907.09666 · arxiv_version: 1907.09666v1 · doi: 10.48550/arxiv.1907.09666 · pith_short_12: 6IMXK7CBEKUA · pith_short_16: 6IMXK7CBEKUA54CN · pith_short_8: 6IMXK7CB

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/6IMXK7CBEKUA54CNAWBSYW4DGX \
  | 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: f219757c4122a80ef04d05832c5b8335debfdd33c35ee7f635c655860828df32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac26b1757ab8e33b6cb5873162856cf16ab769b324fd77a0d5ab052168b4e2da",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-07-23T02:53:36Z",
    "title_canon_sha256": "102b450bd87a916850eace20dc6806b3a5560322a824b04f18538a79ebc218ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09666",
    "kind": "arxiv",
    "version": 1
  }
}