Pith Number

pith:63ASONPZ

pith:2024:63ASONPZC6CPWG6BGSHOKCDQYH

not attested not anchored not stored refs pending

The extension of traces for Sobolev mappings between manifolds

Jean Van Schaftingen

arxiv:2403.18738 v2 · 2024-03-27 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63ASONPZC6CPWG6BGSHOKCDQYH}

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

A surprising threshold for the validity of the method of singular projection

Receipt and verification

First computed	2026-07-05T08:45:50.614935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c12735f91784fb1bc1348ee50870c1eab27c4ffcd53e504a94ea9421f3057b

Aliases

arxiv: 2403.18738 · arxiv_version: 2403.18738v2 · doi: 10.48550/arxiv.2403.18738 · pith_short_12: 63ASONPZC6CP · pith_short_16: 63ASONPZC6CPWG6B · pith_short_8: 63ASONPZ

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/63ASONPZC6CPWG6BGSHOKCDQYH \
  | 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: f6c12735f91784fb1bc1348ee50870c1eab27c4ffcd53e504a94ea9421f3057b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90fefc2b20d8fb7dc92bd2b217b983ad4d8e7aace91527bd3bb0ca5a7b48e7b8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-03-27T16:27:23Z",
    "title_canon_sha256": "e169c8a09d2ede1a5d57d3ef903e39b7db23d43076a4a21dffd8354e41e5be9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.18738",
    "kind": "arxiv",
    "version": 2
  }
}