Pith Number

pith:JAB3RRXV

pith:2019:JAB3RRXVT7P7AHYQAKTSMAR742

not attested not anchored not stored refs pending

Exponential Functions in Cartesian Differential Categories

Jean-Simon Pacaud Lemay

arxiv:1911.04790 v3 · 2019-11-12 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAB3RRXVT7P7AHYQAKTSMAR742}

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	2026-07-05T01:19:50.813421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4803b8c6f59fdff01f1002a726023fe6b65b776534dbf28ddb54b17eab7ead44

Aliases

arxiv: 1911.04790 · arxiv_version: 1911.04790v3 · doi: 10.48550/arxiv.1911.04790 · pith_short_12: JAB3RRXVT7P7 · pith_short_16: JAB3RRXVT7P7AHYQ · pith_short_8: JAB3RRXV

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/JAB3RRXVT7P7AHYQAKTSMAR742 \
  | 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: 4803b8c6f59fdff01f1002a726023fe6b65b776534dbf28ddb54b17eab7ead44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1650b09cde931922dece5c2b4ca8ba45510e4f8e4701f2d4771a21da505ae2ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-11-12T11:01:48Z",
    "title_canon_sha256": "d5beb6dbf86eae1343c2cec026ec3f58c77d3807be1c5889d6d6cdebb6eeccc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.04790",
    "kind": "arxiv",
    "version": 3
  }
}