Pith Number

pith:BF22RTSY

pith:2018:BF22RTSYXFLD6AG5CENHZLI2ZB

not attested not anchored not stored refs pending

Three nontrivial solutions of a nonlocal problem involving critical exponent

Amita Soni, D.Choudhuri

arxiv:1812.01327 v1 · 2018-12-04 · 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{BF22RTSYXFLD6AG5CENHZLI2ZB}

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	2026-05-17T23:59:12.774848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0975a8ce58b9563f00dd111a7cad1ac85803d3a06b2297eb4180e8705f094a7b

Aliases

arxiv: 1812.01327 · arxiv_version: 1812.01327v1 · doi: 10.48550/arxiv.1812.01327 · pith_short_12: BF22RTSYXFLD · pith_short_16: BF22RTSYXFLD6AG5 · pith_short_8: BF22RTSY

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/BF22RTSYXFLD6AG5CENHZLI2ZB \
  | 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: 0975a8ce58b9563f00dd111a7cad1ac85803d3a06b2297eb4180e8705f094a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "620513f614d2a797abd2abfbb4040697e061c47c7683d9a37cccd33488bfcd98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-04T10:56:30Z",
    "title_canon_sha256": "a924f22abb17706558ce8c921c7e919de3d3574cacd0105ca00dc122a2b95924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01327",
    "kind": "arxiv",
    "version": 1
  }
}