Pith Number

pith:E5VLWQYY

pith:2021:E5VLWQYYVDP6RNAADZJDIK3MUG

not attested not anchored not stored refs pending

Sharp quantitative estimates of Struwe's Decomposition

Bin Deng, Juncheng Wei, Liming Sun

arxiv:2103.15360 v2 · 2021-03-29 · 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{E5VLWQYYVDP6RNAADZJDIK3MUG}

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.

Cited by

1 paper in Pith

Stability estimates for critical points of a nonlocal Sobolev-type inequality

Receipt and verification

First computed	2026-07-05T02:34:48.206882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276abb4318a8dfe8b4001e52342b6ca1afe6f33079789b954c3e3b0202d69ad8

Aliases

arxiv: 2103.15360 · arxiv_version: 2103.15360v2 · doi: 10.48550/arxiv.2103.15360 · pith_short_12: E5VLWQYYVDP6 · pith_short_16: E5VLWQYYVDP6RNAA · pith_short_8: E5VLWQYY

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/E5VLWQYYVDP6RNAADZJDIK3MUG \
  | 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: 276abb4318a8dfe8b4001e52342b6ca1afe6f33079789b954c3e3b0202d69ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a31901701543bd00b968e6c413a2b52301dcc09c5a2eebe419c87bf957c5a6b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-03-29T06:24:52Z",
    "title_canon_sha256": "c9830c7ff5b0d432393506f34192964da0f92dd231adec2d67a6104e2aa5f1f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15360",
    "kind": "arxiv",
    "version": 2
  }
}