Pith Number
pith:645NGHBP
pith:2025:645NGHBP27TJ7QAPSDPAW7IGPC
not attested
not anchored
not stored
refs pending
Breather solutions to nonlinear Maxwell equations with retarded material laws
arxiv:2508.20938 v1 · 2025-08-28 · math.AP
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{645NGHBP27TJ7QAPSDPAW7IGPC}
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
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claim
4
Citations
5
Replications
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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 | 2026-07-05T12:01:13.725893Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
f73ad31c2fd7e69fc00f90de0b7d0678a6201b8300fb514c7aca3cb341588a85
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/645NGHBP27TJ7QAPSDPAW7IGPC \
| 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: f73ad31c2fd7e69fc00f90de0b7d0678a6201b8300fb514c7aca3cb341588a85
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "3b7ef3b97f04ebc48cf208d2cc2d37c1bb044433537137665fbc7aa2464b885d",
"cross_cats_sorted": [],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"primary_cat": "math.AP",
"submitted_at": "2025-08-28T16:01:24Z",
"title_canon_sha256": "19b722fa1852cca25a4d8fc9e5b2fcb0f20dfc86869cfbf5a46500b9e5d8b88d"
},
"schema_version": "1.0",
"source": {
"id": "2508.20938",
"kind": "arxiv",
"version": 1
}
}