Pith Number

pith:UTIUBQUJ

pith:2021:UTIUBQUJZYGX4M3OOHMREJXHH5

not attested not anchored not stored refs pending

The axisymmetric $\sigma_k$-Nirenberg problem

Bo Wang, Luc Nguyen, Yanyan Li

arxiv:2106.04504 v1 · 2021-06-08 · 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{UTIUBQUJZYGX4M3OOHMREJXHH5}

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	2026-07-05T02:47:15.959542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d140c289ce0d7e336e71d91226e73f430126c2fb31c3f54a2f022344168e89

Aliases

arxiv: 2106.04504 · arxiv_version: 2106.04504v1 · doi: 10.48550/arxiv.2106.04504 · pith_short_12: UTIUBQUJZYGX · pith_short_16: UTIUBQUJZYGX4M3O · pith_short_8: UTIUBQUJ

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/UTIUBQUJZYGX4M3OOHMREJXHH5 \
  | 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: a4d140c289ce0d7e336e71d91226e73f430126c2fb31c3f54a2f022344168e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7221fdd6f61451dd3959d7cf382355aca2ee90969e3fc44ae4e10dc96b15475",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-08T16:44:39Z",
    "title_canon_sha256": "a2b6414cbb9763cf2768f11e0fad00c4b19ce450077e3793429c690e8689c8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.04504",
    "kind": "arxiv",
    "version": 1
  }
}