Pith Number

pith:HXAKDGGO

pith:2015:HXAKDGGONKETOII4MZBSJDBI4D

not attested not anchored not stored refs pending

Classification of isolated singularities of positive solutions for Choquard equations

Feng Zhou, Huyuan Chen

arxiv:1512.03181 v2 · 2015-12-10 · 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{HXAKDGGONKETOII4MZBSJDBI4D}

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	2026-05-18T01:10:39.958838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc0a198ce6a8937211c6643248c28e0f03e000b5c2feec345ffc543d201c5de

Aliases

arxiv: 1512.03181 · arxiv_version: 1512.03181v2 · doi: 10.48550/arxiv.1512.03181 · pith_short_12: HXAKDGGONKET · pith_short_16: HXAKDGGONKETOII4 · pith_short_8: HXAKDGGO

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/HXAKDGGONKETOII4MZBSJDBI4D \
  | 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: 3dc0a198ce6a8937211c6643248c28e0f03e000b5c2feec345ffc543d201c5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c69d7d067a0e65b3b34dbfa90f2a2cd6caddfdea8855d5a13f006e2e46e713",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-10T09:15:47Z",
    "title_canon_sha256": "e414ec46649caebcd4bd6883ed1db8bcbefd1a185735d3eb6500d73cbb747f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03181",
    "kind": "arxiv",
    "version": 2
  }
}