Pith Number

pith:R35IMW6R

pith:2015:R35IMW6RK7PK6E4P63ICCJZ4TR

not attested not anchored not stored refs pending

Multi-bump solutions for Choquard equation with deepening potential well

Al\^annio B. N\'obrega, Claudianor O. Alves, Minbo Yang

arxiv:1510.01409 v3 · 2015-10-06 · 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{R35IMW6RK7PK6E4P63ICCJZ4TR}

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	2026-05-18T01:16:37.574501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8efa865bd157deaf138ff6d021273c9c65b37b868810a463e99ba62d8566fe65

Aliases

arxiv: 1510.01409 · arxiv_version: 1510.01409v3 · doi: 10.48550/arxiv.1510.01409 · pith_short_12: R35IMW6RK7PK · pith_short_16: R35IMW6RK7PK6E4P · pith_short_8: R35IMW6R

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/R35IMW6RK7PK6E4P63ICCJZ4TR \
  | 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: 8efa865bd157deaf138ff6d021273c9c65b37b868810a463e99ba62d8566fe65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39bc5cf3e48510c4731bfe944d69b7feeb03c818ce6dced3b4278f36a325ddc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-06T01:33:08Z",
    "title_canon_sha256": "a6410f9b6517e775e7e525d9dd17a758a97d5293652a2be319bb7f5648d0ced4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01409",
    "kind": "arxiv",
    "version": 3
  }
}