Pith Number

pith:GYCFP3Z3

pith:2018:GYCFP3Z37HLOD36FONPSWU5C5Z

not attested not anchored not stored refs pending

Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps

Jean Van Schaftingen (UCLouvain)

arxiv:1811.01706 v2 · 2018-11-05 · math.FA · math.AP · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYCFP3Z37HLOD36FONPSWU5C5Z}

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

Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

Receipt and verification

First computed	2026-07-05T00:47:15.766580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360457ef3bf9d6e1efc5735f2b53a2ee4bd72d3bff943bec0a556bcb7f8b597b

Aliases

arxiv: 1811.01706 · arxiv_version: 1811.01706v2 · doi: 10.48550/arxiv.1811.01706 · pith_short_12: GYCFP3Z37HLO · pith_short_16: GYCFP3Z37HLOD36F · pith_short_8: GYCFP3Z3

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/GYCFP3Z37HLOD36FONPSWU5C5Z \
  | 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: 360457ef3bf9d6e1efc5735f2b53a2ee4bd72d3bff943bec0a556bcb7f8b597b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f766101a7335164cb2d02e64c59a1e0f32524fb30de414d3fa33cf30729c6f36",
    "cross_cats_sorted": [
      "math.AP",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-05T14:22:06Z",
    "title_canon_sha256": "9e9fef48b2e4061ad2a40aacdbaffb25268a22a585759810172688c4ea8a1002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01706",
    "kind": "arxiv",
    "version": 2
  }
}