Pith Number

pith:3KKOEWJV

pith:2015:3KKOEWJVLPGTYJQB25EJ65PP5P

not attested not anchored not stored refs pending

Geometric partial differentiability on manifolds: the tangential derivative and the chain rule

Alexandra Convent, Jean Van Schaftingen

arxiv:1501.01223 v1 · 2015-01-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KKOEWJVLPGTYJQB25EJ65PP5P}

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	2026-05-18T01:21:37.690171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da94e259355bcd3c2601d7489f75efebc016dd488da2b103a20f2fc9e3aaee71

Aliases

arxiv: 1501.01223 · arxiv_version: 1501.01223v1 · doi: 10.48550/arxiv.1501.01223 · pith_short_12: 3KKOEWJVLPGT · pith_short_16: 3KKOEWJVLPGTYJQB · pith_short_8: 3KKOEWJV

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/3KKOEWJVLPGTYJQB25EJ65PP5P \
  | 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: da94e259355bcd3c2601d7489f75efebc016dd488da2b103a20f2fc9e3aaee71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "621e9be53714480f47abfa0ee4a50f1601d84df40f519b71641715dce547e925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-06T16:31:34Z",
    "title_canon_sha256": "cb1d80347532575adcbfdbd50448a68058bc2c4815e120b26a3b24cb06593820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01223",
    "kind": "arxiv",
    "version": 1
  }
}