Pith Number

pith:N2YFBB4K

pith:2019:N2YFBB4KCFRGU2Y6S7AFO4VEBV

not attested not anchored not stored refs pending

Bubbling solutions for a planar exponential nonlinear elliptic equation with a singular source

Jiamei Hu, Jingyi Dong, Yibin Zhang

arxiv:1908.05532 v7 · 2019-08-15 · 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{N2YFBB4KCFRGU2Y6S7AFO4VEBV}

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	2026-07-05T03:49:36.519388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb050878a11626a6b1e97c05772a40d7b8d0fd869808ada7dc1efa638e496f1

Aliases

arxiv: 1908.05532 · arxiv_version: 1908.05532v7 · doi: 10.48550/arxiv.1908.05532 · pith_short_12: N2YFBB4KCFRG · pith_short_16: N2YFBB4KCFRGU2Y6 · pith_short_8: N2YFBB4K

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/N2YFBB4KCFRGU2Y6S7AFO4VEBV \
  | 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: 6eb050878a11626a6b1e97c05772a40d7b8d0fd869808ada7dc1efa638e496f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b725e5aafe17cc2d78376806cf2fab43e6de9ab6abd21058e9e63138f3d59d9d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-15T13:37:40Z",
    "title_canon_sha256": "9cdda6eb935b326a0f2e455fbe3ee9fd3e245c90ee3f4cc42a570837b9e3a2f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05532",
    "kind": "arxiv",
    "version": 7
  }
}