Pith Number

pith:KAZBRTKO

pith:2012:KAZBRTKOP5V4EXXYKWVF4YBU65

not attested not anchored not stored refs pending

n/p-Harmonic maps: regularity for the sphere case

Armin Schikorra, Francesca Da Lio

arxiv:1202.1151 v1 · 2012-02-06 · 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{KAZBRTKOP5V4EXXYKWVF4YBU65}

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	2026-05-18T03:35:54.262807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

503218cd4e7f6bc25ef855aa5e6034f7655e54998fc796ff5aa3d95c3d19161d

Aliases

arxiv: 1202.1151 · arxiv_version: 1202.1151v1 · doi: 10.48550/arxiv.1202.1151 · pith_short_12: KAZBRTKOP5V4 · pith_short_16: KAZBRTKOP5V4EXXY · pith_short_8: KAZBRTKO

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/KAZBRTKOP5V4EXXYKWVF4YBU65 \
  | 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: 503218cd4e7f6bc25ef855aa5e6034f7655e54998fc796ff5aa3d95c3d19161d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56850f24b3ceb89854903da78d497dabc48e7797df7df4b52c84ea60a1ca9a3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-06T14:26:41Z",
    "title_canon_sha256": "b0b45dab98aedddfe32685ed033acfd427c010f36a870342adaeffd52092d61b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1151",
    "kind": "arxiv",
    "version": 1
  }
}