Pith Number

pith:W7HN4DEC

pith:2014:W7HN4DECWV5CQQX2Q73FOTJMV2

not attested not anchored not stored refs pending

Existence results for the fractional Nirenberg problem

Chungen Liu, Yan-Hong Chen, Youquan Zheng

arxiv:1406.2770 v1 · 2014-06-11 · 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{W7HN4DECWV5CQQX2Q73FOTJMV2}

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	2026-05-18T02:49:55.200457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7cede0c82b57a2842fa87f6574d2caebdeeb70eb9cde66b3181ac4a157cffe8

Aliases

arxiv: 1406.2770 · arxiv_version: 1406.2770v1 · doi: 10.48550/arxiv.1406.2770 · pith_short_12: W7HN4DECWV5C · pith_short_16: W7HN4DECWV5CQQX2 · pith_short_8: W7HN4DEC

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/W7HN4DECWV5CQQX2Q73FOTJMV2 \
  | 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: b7cede0c82b57a2842fa87f6574d2caebdeeb70eb9cde66b3181ac4a157cffe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e07ef519a35ce30cc773fe11fedd2a4595590afb747ff37423def31128f9b52a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-11T03:28:19Z",
    "title_canon_sha256": "7ee8790e7f46aef9689b8406717790cb36c778504646a8b09d2f72bbdd4ffa6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2770",
    "kind": "arxiv",
    "version": 1
  }
}