Pith Number

pith:SCRT43WW

pith:2024:SCRT43WWAZLLPZ6IVWNLBZHDOR

not attested not anchored not stored refs pending

Towards a General Theory of Dependent Sums

Peter Bonart

arxiv:2404.08139 v1 · 2024-04-11 · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCRT43WWAZLLPZ6IVWNLBZHDOR}

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

Ultracategories via Kan extensions of relative monads

Receipt and verification

First computed	2026-07-05T08:07:18.353936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90a33e6ed60656b7e7c8ad9ab0e4e3744b1d068b15981166943fded2aa2dafa2

Aliases

arxiv: 2404.08139 · arxiv_version: 2404.08139v1 · doi: 10.48550/arxiv.2404.08139 · pith_short_12: SCRT43WWAZLL · pith_short_16: SCRT43WWAZLLPZ6I · pith_short_8: SCRT43WW

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/SCRT43WWAZLLPZ6IVWNLBZHDOR \
  | 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: 90a33e6ed60656b7e7c8ad9ab0e4e3744b1d068b15981166943fded2aa2dafa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7a6c11c018dc95c96f9bf5c43a3f8281dde778b011e7d76a7d6693269ec7bd",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-04-11T21:54:20Z",
    "title_canon_sha256": "cd265d47c9efe40aa6a726c158763ec852c8bc26aff24b53cf0a97ec4911ca63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.08139",
    "kind": "arxiv",
    "version": 1
  }
}