Pith Number

pith:PW2FFGWE

pith:2016:PW2FFGWEUTVHLKVOUQNCDXO5B3

not attested not anchored not stored refs pending

Singularly perturbed critical Choquard equations

Claudianor O. Alves, Fashun Gao, Marco Squassina, Minbo Yang

arxiv:1611.01712 v3 · 2016-11-06 · 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{PW2FFGWEUTVHLKVOUQNCDXO5B3}

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	2026-05-18T00:44:38.801571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db4529ac4a4ea75aaaea41a21dddd0ef776580139ad6a76b069170a8c621f8f

Aliases

arxiv: 1611.01712 · arxiv_version: 1611.01712v3 · doi: 10.48550/arxiv.1611.01712 · pith_short_12: PW2FFGWEUTVH · pith_short_16: PW2FFGWEUTVHLKVO · pith_short_8: PW2FFGWE

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/PW2FFGWEUTVHLKVOUQNCDXO5B3 \
  | 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: 7db4529ac4a4ea75aaaea41a21dddd0ef776580139ad6a76b069170a8c621f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e1d557995de6be007e61475fedc8b84e9a0f72429b4c67754099db20da6a0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-06T00:59:29Z",
    "title_canon_sha256": "7b333fe6abb9dbf626b5a73d1f1ea131a9beae6611226f5e4f2240da31d17d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01712",
    "kind": "arxiv",
    "version": 3
  }
}