Pith Number

pith:7GU5EIHS

pith:2014:7GU5EIHSKJUPFZ5M2T7TN246FE

not attested not anchored not stored refs pending

A new obstruction to the extension problem for Sobolev maps between manifolds

Fabrice Bethuel

arxiv:1402.4614 v1 · 2014-02-19 · 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{7GU5EIHSKJUPFZ5M2T7TN246FE}

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	2026-05-18T02:58:33.684360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a9d220f25268f2e7acd4ff36eb9e2910c61ef7e87d0652898429d0be96c5cd

Aliases

arxiv: 1402.4614 · arxiv_version: 1402.4614v1 · doi: 10.48550/arxiv.1402.4614 · pith_short_12: 7GU5EIHSKJUP · pith_short_16: 7GU5EIHSKJUPFZ5M · pith_short_8: 7GU5EIHS

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/7GU5EIHSKJUPFZ5M2T7TN246FE \
  | 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: f9a9d220f25268f2e7acd4ff36eb9e2910c61ef7e87d0652898429d0be96c5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6911582ec11ee2aeb238786a408c62106b7b3016e2b0e0a0a43eb7b0fa726264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-19T10:26:03Z",
    "title_canon_sha256": "b1d546ad07af5a179280a996b07df8db426904f2cf3d9b2a02a535ade7547498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4614",
    "kind": "arxiv",
    "version": 1
  }
}