Pith Number

pith:O6NHGUOQ

pith:2016:O6NHGUOQSL3OLX4MRDBW2RTJWE

not attested not anchored not stored refs pending

Standing waves with a critical frequency for nonlinear Choquard equations

Jean Van Schaftingen, Jiankang Xia

arxiv:1611.08952 v1 · 2016-11-28 · 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{O6NHGUOQSL3OLX4MRDBW2RTJWE}

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	2026-05-18T00:07:51.003036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

779a7351d092f6e5df8c88c36d4669b113cd57d57647746b9a228d740829d0d0

Aliases

arxiv: 1611.08952 · arxiv_version: 1611.08952v1 · doi: 10.48550/arxiv.1611.08952 · pith_short_12: O6NHGUOQSL3O · pith_short_16: O6NHGUOQSL3OLX4M · pith_short_8: O6NHGUOQ

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/O6NHGUOQSL3OLX4MRDBW2RTJWE \
  | 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: 779a7351d092f6e5df8c88c36d4669b113cd57d57647746b9a228d740829d0d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bcb7d94480fa827cd853bde8923eeb9eed8114711db31c5a61395a005f2af22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-28T01:27:52Z",
    "title_canon_sha256": "ae06e3913f41ebfc1b9e19ac2988509f7304951ef0f3e5a1c43525e9f1c56084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08952",
    "kind": "arxiv",
    "version": 1
  }
}