Pith Number

pith:BFQOIVBX

pith:2017:BFQOIVBX6BDJLRAO2FCYJBFHL5

not attested not anchored not stored refs pending

Minimizing fractional harmonic maps on the real line in the supercritical regime

Hui Yu, Vincent Millot, Yannick Sire

arxiv:1710.04754 v1 · 2017-10-13 · 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{BFQOIVBX6BDJLRAO2FCYJBFHL5}

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	2026-05-18T00:32:56.817391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0960e45437f04695c40ed1458484a75f7acab1a28c0214e9ff29025176380320

Aliases

arxiv: 1710.04754 · arxiv_version: 1710.04754v1 · doi: 10.48550/arxiv.1710.04754 · pith_short_12: BFQOIVBX6BDJ · pith_short_16: BFQOIVBX6BDJLRAO · pith_short_8: BFQOIVBX

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/BFQOIVBX6BDJLRAO2FCYJBFHL5 \
  | 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: 0960e45437f04695c40ed1458484a75f7acab1a28c0214e9ff29025176380320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271cd140037492c7353d6029940bcc202ff66ac5746e072b55c42a8a319f56d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-13T00:08:06Z",
    "title_canon_sha256": "23b14e4ae9fd1c663e526134e780b99d90e25b377662f7abd82915fa365eb697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04754",
    "kind": "arxiv",
    "version": 1
  }
}