Pith Number

pith:ZMKQV3MD

pith:2019:ZMKQV3MDSUL4IJGJRXKBWCNDOE

not attested not anchored not stored refs pending

On subcartesian spaces Leibniz' rule implies the chain rule

J\k{e}drzej \'Sniatycki, Richard Cushman

arxiv:1903.10004 v2 · 2019-03-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMKQV3MDSUL4IJGJRXKBWCNDOE}

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	2026-05-17T23:49:54.770486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb150aed839517c424c98dd41b09a371329a19fcd06fee8994830feb14b2a71a

Aliases

arxiv: 1903.10004 · arxiv_version: 1903.10004v2 · doi: 10.48550/arxiv.1903.10004 · pith_short_12: ZMKQV3MDSUL4 · pith_short_16: ZMKQV3MDSUL4IJGJ · pith_short_8: ZMKQV3MD

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/ZMKQV3MDSUL4IJGJRXKBWCNDOE \
  | 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: cb150aed839517c424c98dd41b09a371329a19fcd06fee8994830feb14b2a71a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1378018e7b232b7dd9fe28f2fc17a870e4b6afcab7176fd9cd5c07da842e51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-24T15:37:42Z",
    "title_canon_sha256": "a2bea78e6b759654c659d94f3774ba6dff13c1d6fdcb0053cc9a1c6c11575e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10004",
    "kind": "arxiv",
    "version": 2
  }
}