Pith Number

pith:VZPBJZMN

pith:2026:VZPBJZMNRBKTFWN7RB7NIT46KD

not attested not anchored not stored refs pending

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics

Fabio Pusateri, Jonas Luhrmann, Jos\'e M. Palacios, Sohrab Shahshahani, Wilhelm Schlag

arxiv:2608.10608 v1 · 2026-08-11 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZPBJZMNRBKTFWN7RB7NIT46KD}

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	2026-08-12T01:22:51.437184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5e14e58d885532d9bf887ed44f9e50d35afa9c37e9f0ecc634cb9d08e92d1e

Aliases

arxiv: 2608.10608 · arxiv_version: 2608.10608v1 · doi: 10.48550/arxiv.2608.10608 · pith_short_12: VZPBJZMNRBKT · pith_short_16: VZPBJZMNRBKTFWN7 · pith_short_8: VZPBJZMN

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/VZPBJZMNRBKTFWN7RB7NIT46KD \
  | 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: ae5e14e58d885532d9bf887ed44f9e50d35afa9c37e9f0ecc634cb9d08e92d1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebe31ab76c1c64521af15773d6b91d4687940252153698d6b6769447babc0d8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-11T07:52:45Z",
    "title_canon_sha256": "b166af1a4386db209763870e4deee6f8a233eb6e4baf07be2d4db385429ea196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10608",
    "kind": "arxiv",
    "version": 1
  }
}