Pith Number

pith:ANYCMLIK

pith:2012:ANYCMLIKGQSGZ3J673YI4QTWTY

not attested not anchored not stored refs pending

Standing waves with large frequency for 4-superlinear Schr\"odinger-Poisson systems

Huayang Chen, Shibo Liu

arxiv:1211.3475 v2 · 2012-11-15 · 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{ANYCMLIKGQSGZ3J673YI4QTWTY}

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	2026-05-18T03:32:05.117952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0370262d0a34246ced3efef08e42769e1a887fceb63d8927713e9180ecef891e

Aliases

arxiv: 1211.3475 · arxiv_version: 1211.3475v2 · doi: 10.48550/arxiv.1211.3475 · pith_short_12: ANYCMLIKGQSG · pith_short_16: ANYCMLIKGQSGZ3J6 · pith_short_8: ANYCMLIK

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/ANYCMLIKGQSGZ3J673YI4QTWTY \
  | 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: 0370262d0a34246ced3efef08e42769e1a887fceb63d8927713e9180ecef891e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3909a5e786bab3ba979d8c19a41502274b1a8f34e64922adbe7966f522047828",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-15T01:23:08Z",
    "title_canon_sha256": "29319ce7dd804703f208df5131c21f811a25d87979d4ab5d7b9a5d8ef81f04a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3475",
    "kind": "arxiv",
    "version": 2
  }
}