Pith Number

pith:VPDYBJDV

pith:2024:VPDYBJDVXEZ2JYI4OHNRXZDUQ7

not attested not anchored not stored refs pending

On spectral stability of one- and bi-frequency solitary waves in Soler model in (3+1)D

Andrew Comech, Nabile Boussa\"id, Niranjana Kulkarni

arxiv:2412.21170 v1 · 2024-12-30 · 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{VPDYBJDVXEZ2JYI4OHNRXZDUQ7}

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

Decay of solutions of nonlinear Dirac equations

Receipt and verification

First computed	2026-07-05T09:55:28.324116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc780a475b933a4e11c71db1be47487d6b0d10528249ca7e3e1f8507cec1710

Aliases

arxiv: 2412.21170 · arxiv_version: 2412.21170v1 · doi: 10.48550/arxiv.2412.21170 · pith_short_12: VPDYBJDVXEZ2 · pith_short_16: VPDYBJDVXEZ2JYI4 · pith_short_8: VPDYBJDV

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/VPDYBJDVXEZ2JYI4OHNRXZDUQ7 \
  | 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: abc780a475b933a4e11c71db1be47487d6b0d10528249ca7e3e1f8507cec1710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea76737a0fbd809ed0e9224eb11a032b13b9e32dcb6caeb0dca2649981c28eaa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-30T18:48:15Z",
    "title_canon_sha256": "3a736630651edb1656e79042651fdfafcd3312cb7975770e07b420acd658fb65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21170",
    "kind": "arxiv",
    "version": 1
  }
}