Pith Number

pith:RFKWP5TA

pith:2019:RFKWP5TAAINX4NQNXXQ5YKFFW2

not attested not anchored not stored refs pending

On the size of the singular set of minimizing harmonic maps into the 2-sphere in dimension four and higher

Armin Schikorra, Katarzyna Mazowiecka, Micha{\l} Mi\'skiewicz

arxiv:1902.03161 v1 · 2019-02-08 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFKWP5TAAINX4NQNXXQ5YKFFW2}

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	2026-05-17T23:54:27.773297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

895567f660021b7e360dbde1dc28a5b6ab3073249ada7ed099b9724285381dfa

Aliases

arxiv: 1902.03161 · arxiv_version: 1902.03161v1 · doi: 10.48550/arxiv.1902.03161 · pith_short_12: RFKWP5TAAINX · pith_short_16: RFKWP5TAAINX4NQN · pith_short_8: RFKWP5TA

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/RFKWP5TAAINX4NQNXXQ5YKFFW2 \
  | 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: 895567f660021b7e360dbde1dc28a5b6ab3073249ada7ed099b9724285381dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa8b9723a53379cb830a34ae82a25dd68c3ab980f89de21a9eaaadb1f5efea9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-08T16:04:10Z",
    "title_canon_sha256": "5458a7511b32cec010af9a42aa06e686b6e3d6199fd6d21173554bc6a3451cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03161",
    "kind": "arxiv",
    "version": 1
  }
}