Pith Number

pith:XZHDDWQZ

pith:2015:XZHDDWQZ224UWPOT4ASY3NFXEY

not attested not anchored not stored refs pending

Ground state solutions for non-autonomous fractional Choquard equations

Chungen Liu, Yan-Hong Chen

arxiv:1505.03749 v1 · 2015-05-14 · 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{XZHDDWQZ224UWPOT4ASY3NFXEY}

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	2026-05-18T01:12:08.535939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be4e31da19d6b94b3dd3e0258db4b7262c21d72128a5ae839ed9a7f80cf2fc9c

Aliases

arxiv: 1505.03749 · arxiv_version: 1505.03749v1 · doi: 10.48550/arxiv.1505.03749 · pith_short_12: XZHDDWQZ224U · pith_short_16: XZHDDWQZ224UWPOT · pith_short_8: XZHDDWQZ

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/XZHDDWQZ224UWPOT4ASY3NFXEY \
  | 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: be4e31da19d6b94b3dd3e0258db4b7262c21d72128a5ae839ed9a7f80cf2fc9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c663642abc2ab26f0e97306e64aebf3fa1702c19be483e6d182381e1ea26cec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-14T15:04:51Z",
    "title_canon_sha256": "67d806cd48c00e70970a4302ae3146ff7ae2d2942502b8abddcd391a3cea7f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03749",
    "kind": "arxiv",
    "version": 1
  }
}