Pith Number

pith:MAZ7TUN2

pith:2020:MAZ7TUN2G5W7IBOQMEFETNX7XP

not attested not anchored not stored refs pending

On the $\sigma_{k}$-Nirenberg problem

Bo Wang, Luc Nguyen, Yanyan Li

arxiv:2008.08437 v2 · 2020-08-19 · 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{MAZ7TUN2G5W7IBOQMEFETNX7XP}

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	2026-07-05T03:57:39.337338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6033f9d1ba376df405d0610a49b6ffbbd5b42b08a7eecce40685e368717c46cc

Aliases

arxiv: 2008.08437 · arxiv_version: 2008.08437v2 · doi: 10.48550/arxiv.2008.08437 · pith_short_12: MAZ7TUN2G5W7 · pith_short_16: MAZ7TUN2G5W7IBOQ · pith_short_8: MAZ7TUN2

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/MAZ7TUN2G5W7IBOQMEFETNX7XP \
  | 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: 6033f9d1ba376df405d0610a49b6ffbbd5b42b08a7eecce40685e368717c46cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74343b6c93adda2c570c26354daf86159cfa567555b3c70ea07f49e3070ac284",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-08-19T13:44:23Z",
    "title_canon_sha256": "2eb3d0c7e6c5557c1f15285d4d40b12c7bd8607848e5cf8f004301b2d25daa74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08437",
    "kind": "arxiv",
    "version": 2
  }
}