Pith Number

pith:CFNVLBXS

pith:2014:CFNVLBXSSXJNO2ISL7KWWY4XGF

not attested not anchored not stored refs pending

Sobolev spaces of maps and the Dirichlet problem for harmonic maps

Giona Veronelli, Stefano Pigola

arxiv:1412.3429 v2 · 2014-12-10 · math.DG · 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{CFNVLBXSSXJNO2ISL7KWWY4XGF}

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	2026-05-18T00:29:39.902753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

115b5586f295d2d769125fd56b6397317287c6ad5245c9a47f2e8a2567572478

Aliases

arxiv: 1412.3429 · arxiv_version: 1412.3429v2 · doi: 10.48550/arxiv.1412.3429 · pith_short_12: CFNVLBXSSXJN · pith_short_16: CFNVLBXSSXJNO2IS · pith_short_8: CFNVLBXS

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/CFNVLBXSSXJNO2ISL7KWWY4XGF \
  | 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: 115b5586f295d2d769125fd56b6397317287c6ad5245c9a47f2e8a2567572478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3242ffe72f1624ccdb3962724ff697af4bbc1189db3b4681b63fbb44fbd09af8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-10T19:58:33Z",
    "title_canon_sha256": "6d824ead9e10f96300d0a23d5b368399cdd2c68fe92e3870dba5d73d58683459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3429",
    "kind": "arxiv",
    "version": 2
  }
}