Pith Number

pith:HW4MCP4T

pith:2018:HW4MCP4T2ZLNWO3F23VTVRYT55

not attested not anchored not stored refs pending

Heavily Separable Functors

Alessandro Ardizzoni, Claudia Menini

arxiv:1812.07272 v1 · 2018-12-18 · math.CT · math.RA · 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{HW4MCP4T2ZLNWO3F23VTVRYT55}

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	2026-05-17T23:58:01.011150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3db8c13f93d656db3b65d6eb3ac713ef654af3043b7987fbf6d768a0ba81934d

Aliases

arxiv: 1812.07272 · arxiv_version: 1812.07272v1 · doi: 10.48550/arxiv.1812.07272 · pith_short_12: HW4MCP4T2ZLN · pith_short_16: HW4MCP4T2ZLNWO3F · pith_short_8: HW4MCP4T

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/HW4MCP4T2ZLNWO3F23VTVRYT55 \
  | 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: 3db8c13f93d656db3b65d6eb3ac713ef654af3043b7987fbf6d768a0ba81934d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff3caf84ad99968d10f097b0ef16f37c88c5d9e47aa8f4a3484ac870977bef1",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-12-18T10:14:47Z",
    "title_canon_sha256": "befe2d05d769e97070cba170d1d2ef9724221f14030a2ff94784fb9a6dd2a76a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07272",
    "kind": "arxiv",
    "version": 1
  }
}