Pith Number

pith:M547YLCP

pith:2021:M547YLCPCCGGPCC6NQCFD7BDGL

not attested not anchored not stored refs pending

Categorical semantics of a simple differential programming language

Dorette Pronk, Geoffrey Cruttwell, Jonathan Gallagher

arxiv:2101.10491 v1 · 2021-01-26 · math.CT · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M547YLCPCCGGPCC6NQCFD7BDGL}

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	2026-07-05T02:09:59.086973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6779fc2c4f108c67885e6c0451fc2332ee35da9cc57f4d1a2fd064574e33dab4

Aliases

arxiv: 2101.10491 · arxiv_version: 2101.10491v1 · doi: 10.48550/arxiv.2101.10491 · pith_short_12: M547YLCPCCGG · pith_short_16: M547YLCPCCGGPCC6 · pith_short_8: M547YLCP

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/M547YLCPCCGGPCC6NQCFD7BDGL \
  | 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: 6779fc2c4f108c67885e6c0451fc2332ee35da9cc57f4d1a2fd064574e33dab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "521dccc805a89a1f443069a4a38731fb432a910c91e804991fc2dd7020a2ebb1",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-01-26T00:08:48Z",
    "title_canon_sha256": "046fa83c6fca86cb40a6c2b7b5a0174be1f61ef405981d0698cb7b9f58e935ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.10491",
    "kind": "arxiv",
    "version": 1
  }
}