Pith Number

pith:2ZPYVOHZ

pith:2024:2ZPYVOHZLUESYKVFFSGNYHYAV6

not attested not anchored not stored refs pending

Dichotomy Results for the Electromagnetic Schr\"odinger Equation

Ian Miller, Magdalena Czubak, Svetlana Roudenko

arxiv:2412.20239 v1 · 2024-12-28 · 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{2ZPYVOHZLUESYKVFFSGNYHYAV6}

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.

Cited by

1 paper in Pith

Equivariant stability of vortices in Manton's Chern-Simons-Schr\"odinger system on the hyperbolic plane

Receipt and verification

First computed	2026-07-05T09:54:56.323487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65f8ab8f95d092c2aa52c8cdc1f00afa090a18f5b926c48ba6bc10c23ea4b9d

Aliases

arxiv: 2412.20239 · arxiv_version: 2412.20239v1 · doi: 10.48550/arxiv.2412.20239 · pith_short_12: 2ZPYVOHZLUES · pith_short_16: 2ZPYVOHZLUESYKVF · pith_short_8: 2ZPYVOHZ

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/2ZPYVOHZLUESYKVFFSGNYHYAV6 \
  | 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: d65f8ab8f95d092c2aa52c8cdc1f00afa090a18f5b926c48ba6bc10c23ea4b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a2cafefe86ec181f119931bd2c64a77a61d093368bdb1b7672d258833907b4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-28T18:34:12Z",
    "title_canon_sha256": "dc992308dced84d6c84ba1304d1872417907e10dba7dd1ad38bdabb27cf8b85d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20239",
    "kind": "arxiv",
    "version": 1
  }
}